B.8x+8x+7x+7x=90
C.8x/7x=90
D.2x+2x=90
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. 1320
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:
#SPJ6