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sladkih [1.3K]
3 years ago
12

The drama club is holding auditions for five different parts in a one act play. If my people audition, how many ways can the rul

es be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Mathematics
1 answer:
denpristay [2]3 years ago
4 0

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

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