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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)

 Subject Author Date Solution Set-up FrankM 2008-03-28 08:10:46 answer K Sengupta 2007-09-05 05:50:37 Solution Tristan 2005-09-22 23:15:14 Brute Force Solution Dan 2005-09-22 21:18:19 re(2): need a better formula (!!) Bob Smith 2005-09-22 20:15:28 solution -- computer assisted Charlie 2005-09-22 19:25:02 re: need a better formula (!!) Jer 2005-09-22 19:17:57 need a better formula Bob Smith 2005-09-22 18:58:19

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