Suppose that 6 kids are put into a queue. However, we know that two of them are especially naughty and they must be separated. In how many ways can the queue be arranged?

Guest May 31, 2017

#1**+1 **

**Please** would be a big improvement on Quick!

You are lucky I have answered!

Suppose that 6 kids are put into a queue. However, we know that two of them are especially naughty and they must be separated. In how many ways can the queue be arranged?

How many ways can 6 children be arranged? 6!

I'm going to tie the two naughty ones together, Now how amny ways are there. 5! But either one could be first so that is 2*5!

so the number of ways that they are not together is 6! - 2*5!

6!-2*5! = 480 ways

Melody May 31, 2017