What is the value of [tex]9P5[/tex]?

A. 45
B. 126
C. 15,120
D. 59,049

A cooking club has 12 members. How many ways can they select a president and vice president from among the members?

A. 1,320
B. 220
C. 132
D. 66

9P5 is a** permutation** of 9 objects taken 5 at a time; this is ⁹P₅ = 15120. So, the correct option is C.
A permutation of 12 objects taken 2 at a time; this is 132 ways can they select a president and vice president from among the members. So, the correct** option is C.**
Given:
9P5 is a** permutation** of 9 objects taken 5 at a time; this is
9! / (9-5)! = 9!/4!
= (9 8 7 6 5 4 3 2 1)/(4 3 2*1)
= 15120.
A permutation of 12 objects taken 2 at a time; this is 12! / (12-2)! = 12!/10!
=(12 11 10 9 8 7 6 5 4 3 2 1) / (10 9 8 7 6 5 4 3 2 1)
=132
Therefore, the cooking club has 12 members. there are** 132 ways** can they select a president and vice president from among the members
Learn more about **permutation **here:
https://brainly.com/question/32644071
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Answered by bhawsarsakshi4 | 2024-06-24

** The correct answers are: C) 15120 C) 132.
Explanation : 9P5 is a permutation of 9 objects taken 5 at a time; this is 9! / (9-5)! = 9!/4! = (9 8 7 6 5 4 3 2 1)/(4 3 2*1) = 15120.
The second question is a permutation of 12 objects taken 2 at a time; this is 12! / (12-2)! = 12!/10!
=(12 11 10 9 8 7 6 5 4 3 2 1) / (10 9 8 7 6 5 4 3 2 1) =132

Answered by IreneJoliotCurie | 2024-06-24

The value of 9 P 5 is 15 , 120 , so the correct option is C. For the cooking club, there are 132 ways to select a president and vice president, making option C the correct choice for that question as well.
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Answered by bhawsarsakshi4 | 2024-09-30