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 Buddy System (Posted on 2005-09-22)
Miss Honey and Miss Wormwood were taking their classes out on an outing. The two classes were of different sizes, but in each class there were the same number of girls as boys.

Miss Honey told the children in her class to form pairs, each consisting of a boy and a girl. For her own amusement, mentally calculated the number of different ways this could be done.

Miss Wormwood also told her class to form into pairs, but with at least one single-sex pair. She also insisted that the girls Matilda and Susie did not pair up together as they were the most troublesome of her girls. She too calculated the number of different ways that this could be done.

Both teachers arrived at the same answer. How many children were in each class?

 No Solution Yet Submitted by Sam Rating: 4.3333 (6 votes)

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 Brute Force Solution | Comment 5 of 8 |
Through Guess and Check I have found that if Miss Honey had 12 kids and Miss Wormwood 10, it would work.  There may be other solutions, and there is probably a much simpler way to find it than my method.
 Posted by Dan on 2005-09-22 21:18:19

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