GRE Question of the day – 15/10/16:

Numerical Entry question:

Jack and four friends go to a game. In how many ways can they be seated in 5             consecutive seats, if Jack has to sit between any two of his friends?

Expert Asked on October 15, 2016 in GRE Quant.
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1 Answer(s)

The seating can be

_ J_ _ _

_ _ J _ _

_ _ _ J _

J : Jack

_ : Seat

In each of the above arrangement there are 4! ways for the friends to sit.  As there will be 4 ways to fill the first empty, 3 for next empty, 2 to next empty and 1 for the last remaining. Hence, total will be 3 x 4! = 72

Expert Answered on February 7, 2018.
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