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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
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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
 #2
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Thanks a lot!

Guest May 31, 2017

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