Permutations vs combinations(one step):

The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?

Answers

Answer 1

Answer:

the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]

So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.


Related Questions

NEED HELP ASAP PLEASE!

Answers

Answer:-2

Step-by-step explanation:

-y+2x=-1 needs to be changed to y=-2x-1 so that you can set the two equation equal to each other in order to solve for x. That makes it -2x-1=1/2x+4

-4= -4

-2x-5 = 1/2x

+2x = +2x

-5 = 2.5x

div. 2.5 div. 2.5

X= -2

Check: y= -2(-2)-1 Y=3

y=1/2(-2)+4 Y=3

what's b ? plz help ​

Answers

58 i think

58*2+64=180

Ellen needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Ellen will spend on blueberries.

Answers

Answer:

Ellen will spend

$4(2b) on blueberries

Where b = number of batches of Blueberry scones she wants to make

Step-by-step explanation:

From the above question:.

Ellen needs to make b batches of blueberry scones this weekend for her family's brunch party.

Since she needs 2 cartons of blueberries for each batch, and each carton costs $4

1 batch = 2 cartons of blueberries

b batches =

Cross Multiply

b × 2 cartons

= 2b cartons of blueberries.

We also know that:

1 carton blueberries = $4

2b cartons of blueberries = x

Cross Multiply

x = 2b × $4

Therefore, Ellen will spend :

$4(2b) on blueberries

A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?

Answers

Answer:

         

Step-by-step explanation:  

   

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

Micah who is not yet 15 years old, is two years older than DeMonte.


How old is DeMonte?
x = the age of Micah

y = the age of DeMonte

Answers

Answer:

DeMonte is 12

Step-by-step explanation:

If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.

BBBBBBBVVVVVBBBBBBBBBBVV

Answers

Answer:

A. 8(4+2)

Step-by-step explanation:

have a nice day

what is the range of the data 79, 52, 85,94, 71, 82, 84, 66, 58, 98, 72, 100

Answers

Answer:

48 pllz can i have brainiest plzz

Step-by-step explanation:

Answer:

48 is a answer

Step-by-step explanation:

formula for range is highest - lowest

100 - 52

48

What is 11% of 600?

80
45
60
66

Answers

Answer:

66 is the answer to your question

Answer:

66

Step-by-step explanation:

11 % = 0.11

600 × 0.11 = 66

The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?

Answers

Answer:

A 33 degree change

Step-by-step explanation:

67-34=33


[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]

Answers

It equals 4 hhnug flight

12 points
8. Javier worked out the following on his math homework: "What
equation best represents the relationship between x and y in the graph?"
Javier's answer was y= - 4x - 2. Is he correct? If not, explain what he did
wrong AND give the correct answer. (This question will be hand graded) *
1096
2716810
M

Answers

i think it’s correct already !!

If you ask a question will the points given ne deducted from your points​

Answers

Answer:

I think so yeah. not sure though

Answer:

I think I kinda get this question but can you be a little more...Specific?

Step-by-step explanation:

the crowd at a sporting event is estimated to be 2,500 people. the exact attendance is 2,486 people. what is the percentage error?

Answers

Answer:

0.56%

Step-by-step explanation:

Percentage error

[tex] = \frac{2500 - 2486}{2500} \times 100 \\ \\ = \frac{1400}{2500} \\ \\ = 0.56\%[/tex]

The crowd at a sporting event is estimated to be 2,500 people, the exact attendance is 2,486 people, the percentage error is, 0.56%

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The crowd estimated to be 2,500 people

The exact attendance is 2,486 people

Percentage error = ?

Percentage error = (estimated value- exact value)/estimated value×100

Percentage error =   (2,500 - 2,486) /2500×100

                             =  0.56%

So, the percentage error is 0.56%

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ1

Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3
children attend the same concert for $29. How much does it cost for each to attend?

Answers

Answer:

$5 per adult and $3 per kid

Step-by-step explanation:

5x10=50

3x3=9

50+9=59

4x5=20

3x3=9

20+9=29

What is the slope of the line whose equation is: y = 2/5x - 5?

Answers

The slope is 2/5. Rise 2 and run 5

Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54

Answers

sorry but none are correct

Answer:

The Answer is D 30:54

Step-by-step explanation:

5 times 6 is 30 and 6 times 9 is 54

there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?

Answers

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Calculation of the number of students:

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

Learn more about ratio here: https://brainly.com/question/13111469

PLEASE HELP ME FIND X!!!!!!!!!! 50 POINTS

Answers

Answer:

96 this should help it it does. you are welcome if it does not do not get mad at me

Step-by-step explanation:

i just did it

transversals angles​

Answers

B. 2 because it is inside and on the same side as 1

It takes Andre 4 minutes to swim 5 laps.

How many laps PER MINUTE is that? (round to two decimal places if needed)
can someone also show there work?

Answers

=> 4 minutes.........5 laps |:4
=> 1 minute....1,25 laps
=> 1,25 laps per minute

Please help I'll give you brainliest and a lot of points

Answers

Answer:

about 50

Step-by-step explanation:

they a move up 5 minutes eace half mile

dont come at me if it is wrong :)

HELP ILL GIVE BRAINLIEST

Answers

Answer:

The bottom right table

Step-by-step explanation:

Select all of the correct solutions for the following equation
52
2y = 18
a
o ad oo
(5,3)
(4,1)
(3,3)
c
None of the above

Answers

Answer:

Your answer is (4,1).

Step-by-step explanation:

5x - 2y = 18

5(4) - 2(1) = 18

20 - 2 = 18

18 = 18 (Which means it's correct)

Let me know if you need anymore help!

What is the equation to a line with a slope of -3 and a y-intercept of 8?

Answers

Answer:

y=-3x+8

Step-by-step explanation:

y=mx+b

(m=slope and b=y-intercept)

Answer:

Step-by-step explanation:

let’s use this equation y = mx + b

where m = slope

and b = y intercept

since slope is -3, m = -3

and since y intercept is 8, b = 8

so the equation is

y = -3x +8

The sum of two numbers is 1633 and their difference is 35. Find the 2 numbers using simultaneous equation.
Please show working out

Answers

Answer:

Please Mark As Brainliest!!

834 and 799

Step-by-step explanation:

x+y=1633

x-y=35

2x= 1668

x=834

y=799

Answer:

((819.458,813.542)

Step-by-step explanation:

sum of two numbers=1633

x+y=1633----equation (i)

their difference=35

(x-y)^2=35----equation (ii)

solve simultaneous equation by using substitution method

x+y=1633

make x the subject of the formula

x=1633-y---(i)

substitute equation (i)into (ii)

(x-y)^2=3

(1633-y-y)^2=35

(1633-2y)^2=35

apply square root both sides

√(1633-2y)^2=√35

1633-2y=√35

-2y=√35-1633

-2y=-1627.08392

divide both sides by -2

y=813.5419601

substitute the value of y in equation (i

x=1633-y

x=1633-813.5419601

x=819.4580399

therefore the two numbers are (819.458, 813.542)

WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)

A. 4x3 − 31x + 154x3 − 31x + 15

B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15

C.4x3 − 19x + 154x3 − 19x + 15

D.4x3 + 20x2 − 19x +15

Answers

Answer: 4x³-19x+15

Step-by-step explanation:

We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).

[tex](2x+5)(2x^2-5x+3)[/tex]                               [distribute by FOIL]

[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex]           [combine like terms]

[tex]4x^3-19x+15[/tex]

Now we know [tex]4x^3-19x+15[/tex] is the correct answer.

At Carly's Pancake House there are 39 dirty coffee mugs and 21 clean coffee mugs. What
percentage of the coffee mugs at the pancake house are dirty?

Answers

Answer:

65%

Step-by-step explanation:

What you need to do is add both the clean and the dirty mugs together to get a total amount of mugs (60) and then divide 39 by 60 because you are dividing the mugs that you want to find the percentage of by the total amount of mugs. The equation would look like this:

39/60=0.65

therefore, the answer is 65%

Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.

Answers

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?

Answers

Answer:

4 kilometrs

Step-by-step explanation:

if you add the 2 to another 2 you get four

Answer:

4 kilometres

Hope this helped!

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