How many derangements of {1, 2, 3, 4, 5, 6} begin with the integers 1, 2, and 3, in some order?

Answers

Answer 1

Answer:

Total derangement = 4

Step-by-step explanation:

To find - How many derangement of {1, 2, 3, 4, 5, 6} begin with the integers 1, 2, and 3, in some order?

Solution -

Given that,

The first three numbers are 1, 2, 3

The only derangement possible are - 231 and 312

Now,

The remaining elements 4, 5, 6 are the 4th, 5th and 6th number in the derangement

Now,

In order for the permutation of the derangement, the only possibility for 123  are 564 and 645

∴ we get

The Total derangement are -

231564

231645

312564

312645

So,

Total derangement = 4


Related Questions

what is

r+15=36
[tex]r + 15 = 36[/tex]

Answers

Answer:

Step-by-step explanation:

R=21

Which could be the length of BC
11 ft
13 ft
15 ft
18 ft

Answers

Try 18 ft , if no 15

The ratio of boys to girls in a class
is 5:7. There are 36 students in the
class. How many more girls than boys
are there?

Answers

Answer:

tbh i may be too late but the answer is 6

Step-by-step explanation:

the ratio 5:7 in the question is basically saying for every 5 boys are 7 girls

if you multiply the number of boys by 5 ( which would equal 15) you would have 21 girls, 15 + 21 equals 36.  21- 15= 6 giving us the anser

derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion

Answers

Answer:

the answer is probably 5

The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.

Answers

Answer:

9 meters

Step-by-step explanation:

To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.

The width is 9 meters.

Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?

Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds

Answers

Answer:

Four-thirds

Step-by-step explanation:

If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.

The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

f(x) = x² - (1/3)x    x ≠ -1

    = -1                  x = -1

[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)

                      f(x) = 1 + (1/3)

     

                      f(x) = 4/3

To know more about Function

https://brainly.com/question/12431044

#SPJ5

Spain settled Texas because of threats from
a. France.
b. hostile Indians.
C. England .
d. the United States.

Answers

Answer:

The answer is A, France

Answer:

Spain settled taxes because of threats from France

Students on the baseball team and in the French club were asked how many pets they have. The results are shown.
Baseball Team: 0,0,0,1,1,1,1,1, 2, 2, 2,3,3,3,4
French Club: 0,0,1, 1, 1, 2, 2, 2, 2,3,3,3,3,4,6
What is the difference of the means of the two sets of data?
A. 0.6
B. 1
O C. 1.9
D. 2

Answers

Answer:

A

Step-by-step explanation:

The baseball teams total is 24, divided by the number of answers, 25, is 1.6.

The French Club’s total is 33, divided by the number of answers, 15, is 2.2.

2.2-1.6 is 0.6.

Please don’t troll include work

Answers

4 1/8-2 3/4= 4 1/8 - 2 6/8= 1 3/8

2 3/5 + 1 5/6 = 2 18/30 + 1 25/30= 3 43/30 = 4 13/30

8 9/12 + 2 3/8= 8 18/24 + 2 9/24= 10 27/24 = 11 3/24= 11 1/8

3 1/3 - 1 1/2= 3 2/6 - 1 3/6 = 2 8/6 - 1 3/6= 1 5/6

Which is greater?.75 or 3/5

Answers

.75 is greater than 3/5

Answer:

75 is greater than 3/5

Step-by-step explanation:

May I please have brainiest

What is the inverse of f(x)=2^x

Answers

Answer:

[tex] {f}^{ - 1} (x) = \frac{ln(x)}{ln(2)} [/tex]

Step-by-step explanation:

[tex] f(x)=2^x[/tex]

[tex]y = {2}^{x} [/tex]

[tex]x = {2}^{y} [/tex]

[tex] {2}^{y} = x[/tex]

[tex]ln( {2}^{y} )=ln(x)[/tex]

[tex]yln(2)=ln(x)[/tex]

[tex] \frac{yln(2)}{ln(2)} = \frac{ln(x)}{ln(2)} [/tex][tex]y = \frac{ln(x)}{ln(2)} [/tex][tex] {f}^{ - 1} (x) = \frac{ln(x)}{ln(2)} [/tex]Hope it is helpful...

Which is the graph of X < 2?

Answers

Answer:

I think it should be the first or the second one

they both look the same

so choose either

Answer:

The 4th one ( graph #4)

Step-by-step explanation:

Find the surface area of the prism.
5 cm
3 cm
7 cm

Answers

A prism has 6 sides.

2 sides are 7 x 5

2 are 3 x 5

2 are 3 x7

Surface area = 2(7x5) + 2(3x5) + 2(3x7)

Surface area = 70 + 30 +42

Surface area = 142 square cm

Answer:

A=2(wl+hl+hw)

A= 2 (3×7+7×5+5×3)

A=2×71

A=142

Callie borrowed $35 from her sister. It will take her 7 weeks to pay off her debt. How much money will she pay her sister each week? Write your answer as an integer.​

Answers

Answer:

5

Step-by-step explanation:

35 in total, sliced into 7 equal parts (1 per week).

so, each weekly part is therefore 35/7 = 5.

What is the difference in the range of temperatures recorded last year and the range of temperatures recorded this year

C
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Last Year
9
10
11
14
19
22
27
29
21
18
11
6
2 Years Ago
7
11
10
13
17
23
25
25
20
18
12
9

Answers

Answer: explain how crime contributes to social injustices

Step-by-step explanation:

Help me in the next 10 minutes pls

Answers

Hello! the answer should be 516 inches cubed.

you find the volume by length times width times height. the first rectangle is 14 x 6 x 4 which equals 336 and the second rectangle is 180. you simply add 336 and 180 to get 516 inches cubed :)

Answer:

516 in.³

Step-by-step explanation:

14 · 6 · 4

336 in.³

10 · 6 · 3

180 in.³

336 in.³ + 180 in.³

516 in.³

8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain between controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data

Answers

Answer:

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Step-by-step explanation:

To conduct an ANOVA randomization test we perform anova without replication in excel.

The data for the test is

   

                            Mean    Standard Deviation Sample Size

Never

Played Football 7602.5          1074                   25

FB with no History   6459.2         779.9                  25

FB with Concussion 5734.6       593.4                   25

Total                 6598.8      1133.5                  75

Anova: Two-Factor Without Replication    

   

SUMMARY Count Sum Average Variance

Row 1 2 8676.5 4338.25 21310656.13

Row 2 2 7239.1 3619.55 16127224.25

Row 3 2 6328 3164 13215968.72

   

Column 1 3 19796.3 6598.766667 886871.7433

Column 2 3 2447.3 815.7666667 58708.90333

ANOVA Table  

Source           Sum of     Degrees     Mean

of Variation      Square    of freedom  Squares

                            SS     df          MS              F P-value

B/w Rows 1401945.703 2 700972.8517 2.8657 0.259

B/w Col      50164633.5 1 50164633.5 205.0819  0.00484

Error     489215.59         2 244607.795                          

Total 52055794.79 5    

Set up the null and alternate hypotheses :

H0 ; there's no difference between the means and

there's no difference between the standard deviations

against the claim

Ha: there's a difference between the means and

there's  a difference between the standard deviations

The significance level is chosen at 0.05

The test statistics to use are

F1= estimated variance from Between Means/  estimated variance from Error SS

F1= s1²/s3²

F1= estimated variance from Between Standard Deviations /  estimated variance from Error SS

F2- s2²/s3²

with υ1= (2,2)  and υ2(1,2) degrees of freedom.

The critical regions for F (2,2)≥ 19 for 0.05 significance level

and F(1,2) ≥ 18.51  for 0.05 significance level

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

an item costs x dollars and then a 20% discount is applied

Answers

Answer:

If an item is x dollars and 20% discount is applied, the new price will be: 0.8x

Step-by-step explanation:

100 - 20%(20) = 80

80 = 80% or 0.8

So, the remaining of the price of x will be 0.8x.

What is the solution set to the equation 15-4x=x^2-6x?

Answers

Answer:

x = 5 and x = -3

Step-by-step explanation:

15 - 4x = x² - 6x

15 = x² - 2x

0 = x² - 2x - 15

Now if solved using quadratic formula the answer would be:

x = 5 and x = -3

Hope this helps!

two numbered 1 to 6 dice are thrown together and their scores are added. the probability that the sum will be 4 is?​

Answers

Answer:

[tex]Pr = \frac{3}{36}[/tex]

Step-by-step explanation:

Given

2 number die

Required

P(Sum = 4)

The sample space of 2 die is:

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6), (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]

[tex]n(S)= 36[/tex]

The pairs that adds up to 4 are:

[tex]Sum(4) = \{(1,3), (2,2),(3,1)\}[/tex]

[tex]n(Sum) =3[/tex]

So, the probability is:

[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]

[tex]Pr = \frac{3}{36}[/tex]

Solve for x.

2x + 4x + 3 = 7 – x + 10

a: x = −4
b: x = −2
c: x = 2
d: x = 4

Answers

Answer:

Answer:

A.) 2(-4) + 4(-4) + 3 = 7 -(-4) + 10

-8 -16 + 3 = 21

-24 + 3 = 21

-21 = 21

Answer= -1.

B.) 2(-2) + 4(-2) + 3= 7 -(-2) + 10

-4 -8 + 3 = 19

-12 + 3 = 19

-9 = 19

-2.1.

C.) 2(2) + 4(2) + 3 = 7 -(2) + 10

4 + 8 + 3 = 7 -2 + 10

15 = 15

1.

D.) 2(4) + 4(4) + 3 = 7 -(4) + 10

8 +16 + 3 = 7 -4 + 10

27 = 13

0.481.

C. X=2 is the right answer

Can you help me with this?

Answers

Answer:

B =30 yd²

Step-by-step explanation:

total area

= area of rectangle + area of triangle

=(6*4)+(1/2 * 3 * 4)

=30

Answer:

30

Step-by-step explanation:

The area formula for trapezoid- A=1/2*h*(b1+b2)

So- 1/2*4*(6+9)

Let θ be an angle such that cot θ= 12/5 and secθ<0.
Find the exact values of cosθ and cscθ.

Answers

9514 1404 393

Answer:

  cos(θ) = -12/13

  csc(θ) = -13/5

Step-by-step explanation:

The relation between the cot and csc is ...

  cot² + 1 = csc²

The signs of the cot and sec tell you this is a 3rd quadrant angle, where cos and csc are both negative.

Then ...

  csc(θ) = -√(1 +(12/5)²) = -√(169/25)

  csc(θ) = -13/5

__

  cos(θ) = cot(θ)/csc(θ) = (12/5)/(-13/5)

  cos(θ) = -12/13

PLEASE HELP
I NEED THE ANSWER NOW !!

Answers

Answer:

number 1 is the answr

Step-by-step explanation:

Answer:

one i think but i might be wrong

Step-by-step explanation:

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

Answers

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

What is the value of angle K to the nearest What is the value of angle K to the nearest tenth?

Trig functions

Help!!!!!!!

Answers

Answer:

[tex]Cos K = \frac{adjacent}{opposite} = \frac{5}{6}\\\\K = Cos^{-1}(\frac{5}{6} ) = 33.557\\K= 33.6[/tex]

What is 20000 times 18000

Answers

Answer:

ez the answer is 360000000

Step-by-step explanation:

Answer:

the answer is 360000000

Step-by-step explanation:

Hi hi help help please please

Answers

Answer:

50.24 or [tex]16\pi[/tex]

Step-by-step explanation:

N/A

Dave is adding a new patio to the back of his house. The dimensions of the patio are shown below. If one bag of concrete mix will cover 50 square feet, how many bags of concrete will he need?

Answers

Answer:

4

Step-by-step explanation:

Multiply base times height for the area

Divide the area by 50

You cant have 3.888 bags so round up to get 4.

Please help due in 10 min!!! Solve for X

Answers

Answer:

x == 9

Step-by-step explanation:

Angle at the vertex is half the difference of those at the intercepted arcs;

35 = 1/2(120-15x+5)

35 * 2 = 120-15x-5

70 = 115 - 5x

70 - 115 = -5x

-45 = -5x

x = 45/5

x = 9

Hence the value of x is 9

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