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?
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