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Exercise 6

Avg difficulty 2.5

On a business retreat, your company of 20 businessmen and businesswomen go golfing.

  1. You need to divide up into foursomes (groups of 4 people): a first foursome, a second foursome, and so on. How many ways can you do this?

  2. After all your hard work, you realize that in fact, you want each foursome to include one of the five Board members. How many ways can you do this?

Hammond, Discrete Math for Shockers, §5.2 Permutations and Combinations, Exercise 6

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.