Question

Help! Will Reward!

A student club as 15 members

(a) how many ways can a president, vice president, treasurer, and sergeant of arms be chosen?
(b) how many ways can a committee of 4 be selected?

Answer 1

a) we have 15 choices for the president, 14 choices for the vice president (because we already chose a president), 13 choices for the treasurer, 12 choices for the sergeant of arms

15*14*13*12

b) this is a combination problem (order does not matter) use the formula
nCr = n!/(r!*(n-r)!)

where n = the number of students (15)
and r = the size of the committee (4)

Answer 2

thank you!