The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
Answer:
13
Step-by-step explanation:
1 plus 1 plus 6 plus 3 plus 2 equals 13
Answer:
20
Step-by-step explanation:
4x + 10 = 90° cause it's hypotenuse
4x = 90-10
x = 80÷4
= 20
if you don't understand message me :)
The short answer is trial and error. The side lengths "3" and "4" can both be substituted for a² and b² but not c² because their value squared is not high enough since 5² is 25. "c²" as to match the longest side because the smaller numbers will cause the equation to not be true. See Below.
a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
______________________________
a² + b² = c²
4² + 3² = 5²
16 + 9 = 25
25 = 25
______________________________
a² + b² = c²
5² + 4² = 3²
25 + 16 = 9
41 ≠ 9
______________________________
a² + b² = c²
3² + 5² = 4²
9 + 25 = 16
34 ≠ 16
Hope this helped!
Answer:
Pretty sure the answer is $160.86
Step-by-step explanation:
you start off by multiplying 10.75 x 8 because that's how much he'll deposit at the end of an 8 week spand.
adding 86+138.22= 224.22
then you subtract 31.68 two times from that as he withdraws 2 times in the 8 weeks, giving you the answer of 160.86.
hope this helps xx have a good day :)