Question

A guitar shop owner has 12 guitars in his main shop display. The owner wishes to select five of them to display at a special show. How many different ways can a group of five guitars be selected?

Answer 1

792 ways

Explanation:

Total guitars = 12

No of guitars to be selected = 5

No of different ways they can be selected = 12C5

i.e 12 combination 5.

= 12!/((12-5)!x5!)

= 12!/(7!x5!)

= 479001600/(5040x120)

= 479001600/604800

= 792 different ways