A student has 4 shirts, 3 ties, 5 pants. How many ways can he select 3 items to give?

Question

a) if he wants to give 1 of each b) if he makes no restrictions

Answer 1

Hi Myra,

 

a) if he wants to give one of each, the possible ways of doing that are

4*3*5 = 60

 

b) without restrictions, it is the 3 combinations of 12.

C(12, 3) = 12!/((12-3)!*3!)

= 12*11*10*9! / (9!*3*2*1)

= 220