Question

A video store has 27 new release movie posters. How many ways can the manager choose a group of 4 for a prize?

Answer 1

the answer is six remainder three

Answer 2

A video store has 27 new release movie posters.

the manager choose a group of 4 for a prize.

When we choose a group of 4, the order does not matters.

So we use combination

We need to find 4 from 27 new release movie posters.

27C4

nCr =
`(n!)/(r!(n-r)!)`

27C4 =
`(27!)/(4!(27-4)!)` =
`(27!)/(4!(23!)!)`= 17550

The manager can choose a group of 4 for a prize in 17,550 ways.