Permutation and Combination Problem

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Permutation and Combination Problem

by sukhman » Tue Sep 10, 2013 2:47 am
A group of 5 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group,what is the number of ways of seating if both of them will sit next to only one other student from the group? Answer 3 ! × 2 !
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by Java_85 » Tue Sep 10, 2013 11:45 am
Imagine there are 5 sits--> _ _ _ _ _
If bob and lisa will sit next to only one other student from the group, then each of them should be sitting in one end of row i.e. Bob _ _ _ Lisa or Lisa _ _ _ Bob ==>
Answer = 2(the mentioned states) * 3!(for the three empty spots in between). ==> 2! * 3!