How many different 12-letter arrangements can be made using the letters in the word CARELESSNESS?
From 12 different letters, 3326400 arrangements can be made using the letters in the word CARELESSNESS.
What is permutation?When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
Among the 12 letters in CARELESSNESS,
there are 4 S’s, 3 E’s, and 1 each of C, A, R, L, N.
There are 12! = 479,001,600 arrangements (permutations) of the 12 letters,
most of which are identical because of repeated letters.
In order that each permutation be distinct, repeat letters have to be accounted for.
4 S’s be in 4! = 24 ways,
3 E’s, in 3! = 6 ways.
And 1! = 1 way.
Distinct permutations as requested,
thus = 12!/(3!)(4!)(1!)
= 3326400.
Therefore, 3326400 different 12-letter arrangements can be made using the letters in the word CARELESSNESS.
To learn more about the permutation;
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Solve each equation. If –128 = 8(4+ 4v), then what is 10v - 8?
A) 3
B) 16
C) 0
D) -58
please help
a fair dice is rolled. work out the probability of getting a number more than 2. give your answer in its simplest form
Answer:
67% (rounded)
Step-by-step explanation:
Since there is 1-6,
There is 3,4,5,6 which is 4/6 chance being above 2.
2/3 = 66.6%
Answer:1/36
Step-by-step explanation:
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
75.52
Step-by-step explanation:
All you have to do is second cos, or cos^-1(2/8), because of sohcahtoa, adjacent hypotenuse, so it is cos.
Please help I’m strugglinggg Oml and this is due right now
Answer:
i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh
Step-by-step explanation:
Select all the correct answers.
Which lines in the graph have a slope greater than 1 but less than 2?
Answer:
Lines 3 and 4
Step-by-step explanation:
ignore this rjrjrjrjrrnrnnrnrrnnr
Answer:
it is 3 and 3
Step-by-step explanation:
Write the equation that describes that function. Express slope intercept form. IM BEGGING FOR HELP PLEASE
Answer:
y=2x+2
Step-by-step explanation:
Find the area of the shaded region
Answer:
Area = 28.43 cm²
Step-by-step explanation:
area of square = 11.5 x 11.5 = 132.25 cm²
area of circle = πr² = (3.14)(5.75²) = 103.82 cm²
Area= 132.25 - 103.82 = 28.43 cm²
Answer:
28.38 cm²
Step-by-step explanation:
Area of square
a = 11.5^2
a = 132.25
The corners are 4 quarter circle
which makes a complte circle
a = πr^2
a = π(11.5/2)^2
a = 103.8689071093
Area shaded
a = 132.25 - 103.8689071093
a = 28.3810928907
Rounded
a = 28.38 cm²
Help me with this pls
Answer:
= 5^-8 . 5^-10
= 5^(-8 ) + (-10)
=5^-18
Answer:
5^-18
Step-by-step explanation:
[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]
The number of sides of a regular polygon is given. Find the measure of each interior angle of each polygon.
1) 13
2) 20
3) 11
Please help me find the value of x!
Exact Answer: x = 16/3
Approximate Answer: x = 5.333
=======================================================
Work Shown:
base = 3x-1
height = x
area of triangle = (base*height)/2
40 = x*(3x-1)/2
40*2 = 3x^2 - x
80 = 3x^2 - x
0 = 3x^2 - x - 80
3x^2 - x - 80 = 0
Now apply the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]
A negative height doesn't make sense, so we ignore x = -5
The only solution is x = 16/3 which approximates to x = 5.333
Help ASAP, mathematics trig
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then
θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )
there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?
Answer:
Im sorry i dont understand what you mean by sentence but there are 6 boys
Step-by-step explanation:
Are the following integers in order from least to greatest.-3, 0, 6, -7, 9
True -
False -
Answer:
False
Actual order:
-7, -3, 0, 6,9
Mark me brainliesttt :))
the answer should be false, not true
Can someone plz help me on this plz I have the answer just making sure I’m right. Plz no link s
Answer:
B) 63 ft.
Step-by-step explanation:
To find how long it takes for a rotation, we need to find the circumference.
To do so, we use the formula 2(pi)r
To find the radius, we divide the diameter in half :
d = 20
r = d/2
r = 20 / 2
r = 10
Then, we plug that into the formula :
2(pi)10
Insert that into your calculator :
2(pi)10 = 62.83
Simplify :
62.83 = 63 ft.
What would the equation look like if you
completely simplified the RIGHT SIDE ONLY?
5 = 4(x – 2) – 7x
A) 5 = 3x – 2
B) 12 = 4(x - 2)
C) 5 = -6x + 8
D) 5 = -3x – 8
Please help! I will give Brainliest!
Answer:
Option. A
Step-by-step explanation:
Have a great day!
Answer: A
Step-by-step explanation: there's 8 spaces on the spinner
It costs $24.00 for six tickets to the movies. How many tickets can you purchase with $64.00?
Answer:
12
Step-by-step explanation:
What is the median of this data set?
14, 16, 18, 21, 34, 60
O A. 19.5
O B. 21
O C. 20.5
O D. 18
Answer:
D
Step-by-step explanation:
i hope this helped
:))))))
if a population consist of 32,000 people, a sample of the population could consist of which of the following numbers of people?
a. 3,200,00
b. 32,000,000
c. 320,000
d. 3,200
Answer:
d. 3,200
Step-by-step explanation:
If the total population consists of 32,000 people, a sample of the population selected will consist of a number equal or less than 32,000 people.
From the given options, the only option that matches the above explanation is "D" which is less than 32,000 people.
Therefore, the correct answer choice is D. 3,200.
What's the circumference of a circle with a radius of 4 inches? Use 3.14 for i. C = [?] inches
Answer:
25.133
Step-by-step explanation:
Mark brainllest
What is 4/8 + 1/4 simplified what is 3/5 + 2/10 simplified what is 1/3 + 3/9 simplified what is 2/10 +2/5 simplified and what is 3/6 + 2/12 simplified
Answer:
3/4, 4/5, 2/3. 3/5, 2/3
Step-by-step explanation:
What is 4/8 + 1/4 simplified
4/8 + 1/4
4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)
4/8 + 2/8
6/8
or, 3/4 (I simplified the fraction to lowest term)
what is 3/5 + 2/10 simplified
3/5 + 2/10
3/5 + 1/5
4/5
what is 1/3 + 3/9 simplified
1/3 + 3/9
1/3 + 1/3
2/3
what is 2/10 +2/5 simplified
2/10 + 2/5
1/5 + 2/5
3/5
what is 3/6 + 2/12 simplified
3/6 + 2/12
3/6 + 1/6
4/6
2/3
Someone help me pls
Answer:
b^-6
Step-by-step explanation:
i need help -29 = 6a - 17
Answer:
a=-2
Step-by-step explanation:
-29=6a-17
add 17 on both sides
-12=6a
divide by 6 on both sides
-2=a
a=-2
What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2
Answer:
c=-18 d=2
Step-by-step explanation:
[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]
The equation tells that when the two matrices are subtracted we get the resultant matrix.
Each element of the first matrix corresponds to each element of the second matrix
From above
6- (c+2)= 22
6- c-2= 22
4-c= 22
-c= 22-4
-c= 18
c= -18
And
15-( d-4)= 17
15- d+4= 17
19-d= 17
-d= 17-19
-d= -2
d= 2
Answer:
D
Step-by-step explanation:
c= -18
d= 2
What is the area of a circle with a diameter of 5.4
P.S Show work
Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2
Bryce puts $100.00 into an account to use for schopl expenses. The account earns 3%
interest, compounded annually. How much will be in the account after 7 years?
Help!!!
Answer:
A = $122.99
Step-by-step explanation:
A = P + I where
P (principal) = $100.00
I (interest) = $22.99
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 100.00(1 + 0.03/1)(1)(7)
A = 100.00(1 + 0.03)(7)
A = $122.99
Therefore:
The total amount accrued on a principal of $100.00 at a rate of 3% per year compounded 1 time per year over 7 years is $122.99.
Help correct get brainly lol
Answer:
there are seven variable terms
Step-by-step explanation:
variables are letters (a, b, c, etc.)
i hope this helps :)
Answer:
The answer is 4 because are all separate variables (also combines into one variable)
Step-by-step explanation:
What is the probability of rolling a 6 and then a 7 on a number cube?
Answer:
0%, there is no chance you can roll a 7 on a number cube with 6 sides.
If you meant a 5 and then a 6, or 2 rolls subsequently, it would be 1/36.
Step-by-step explanation:
1/6*1/6=1/36