Please show work In a game of musical chairs 11 children wil

Please show work.

In a game of musical chairs, 11 children will sit in 8 chairs arranged in a row. Three :children will be left out. In how many ways can the 11 children find seats?

Solution

As order matters here, then we use permutations.

Thus, there are

#ways = 11P8 = 11!/(11-8)! = 6652800 ways [ANSWER]