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Discrete Math : Permutations

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At the Clone Zone School a class of 10 identical boys and 8 identical girls go to a cafeteria. There are three registers : A, B and C. In how many ways can the students line up at the three registers?

Solution Summary

This solution is comprised of 172 words and investigates a "N Objects in P Containers" type permutation question. The solution is well presented and can be easily applied to similar problem types in the future.

Solution Preview

There are 18 students - 10 boys and 8 girls - and three lines. We can do this by including two "divider" objects that are also identical. I'll show this with an example permutation:

BBGBG|GBGGBBB|BGBGBG

The vertical lines are the dividers and ...

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