Question

Use permutations to solveThe student activity club at the college has 25 members. In how many different ways can the club select a president, a vice president, a treasurer, and a secretary?Substitute values into the formula for251P,=(25 - 4)There aredifferent ways that the offices can be filled

Answer 1

the question is a permutation question

the formular for permutation is

nPr = n!/(n-r)!

in this case,

n = 25

r = 4

so,

nPr = 25!/(25 - 4)!

nPr = 25!/21!

nPr = 25 x 24 x 23 x 22 x 21!/21!

nPr = 303600

therefore,

its 303600 ways