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Exercise 5

Avg difficulty 2.5

When it's finally time to go trick-or-treating, we join up with our next-door neighbors and split up the families into somewhat haphazard groups. There are eleven total children, and six adults. Now let's say each group must have between 3 and 5 members, and must have at least one adult (to stay safe) and at least one kid (otherwise what's the point?) How many different groups are possible?

Davies, A Cool Brisk Walk Through Discrete Mathematics, Counting, Exercise 5

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Adapted from A Cool Brisk Walk Through Discrete Mathematics © 2023 Stephen Davies. Licensed under CC BY-SA 4.0. Source: A Cool Brisk Walk Through Discrete Mathematics. Imported at revision 4b9934b.