Question

In how many ways can the first 4 guest arrive at a party if 15 guest have been invited

Answer 1

32,760

Explanation:

The first 4 guests can arrive in 32,760 ways.

Answer 2

The first 4 guests can arrive at party in 1365 ways if 15 guest have been invited

Explanation:

Total number of guests invited = 15

We are supposed to find in how many ways can the first 4 guest arrive at a party if 15 guest have been invited

We will use combination

Formula :
`^nC_r=(n!)/(r!(n-r)!)`

Substitute n = 15 and r = 4

So,Total no. of ways =
`(15!)/(4!(15-4)!)=1365`

Hence the first 4 guests can arrive at party in 1365 ways if 15 guest have been invited