Question

Christopher is packing his bags for his vacation. He has 8 unique shirts, But only 5 feet in his bag. How many different groups of five shirts can he take

Answer 1

Answer:

Christopher can take 56 different groups of 5 shirts.

Step-by-step explanation:

Christopher has 8 unique shirts.

Out of these only 5 can fit in his bag.

So the number of ways in which he can choose 5 shirts from the available 8 is given by $\[_{5}^{8}\textrm{C}\]$

This can be evaluated as $\[\frac{8!}{5!*3!}\]$

Simplifying further,

= $\[\frac{6*7*8}{1*2*3}\]$

= 56

So Christopher has 56 choices to select 5 shirts out of 8.