Question

Omar is packing his bags for his vacation. He has 9 unique shirts, but only 5 fit in his bag.

How many different groups of 5 shirts can he take?

Answer 1

126

Explanation:

This is a problem of combination in which we have to select 5 things(shirts) out of 9 things(shirts).

This can be done by
`^9c_(5)` which is calculated by

`9!/5!*(9-5)!`

=>
`9*8*7*6*5!/5!*4!`

=>9*8*7*6/4*3*2*1= 126

Therefore omar can take 126 different groups of 5 shirts with him.