Question

[mittfull]

In how many different ways can 12 people stand in line for a photograph if the tallest and the shortest person CAN NOT stand next to each other?

 

[Deleted member 4993]

In how many different ways can 12 people stand in line for a photograph if the tallest and the shortest person CAN NOT stand next to each other?

Think similar (not the same) way as;

Question

In how many different ways can a set of nine books be arranged on a shelf so that volumes one, two, and three are beside one another?

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[Steven G]

12! would include the times when the two are allowed to stand together. So subtract those off. That is, in how many ways can the two stand together?