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5 objects are arranged in a line. What is the probability that two of them, determined before, are next to each other:

 May 17, 2021
 #1
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Just tie those two together

so now you have 4 objects

they can be arranged in 4! ways. but of the 2 tied together, either could be first so there are 2 ways those 2 can be arranged.

Altogether there are 2*4! ways to arrange them

 

But if there were no restrictions then it would be  5! ways.

 

Can you finish it?

 May 18, 2021

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