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Exercise 14

Avg difficulty 2.5

Let A={1,2,…,10}A = \{1,2,\ldots, 10\}. How many subsets of AA contain exactly one element (i.e., how many singleton subsets are there)? How many doubleton subsets (containing exactly two elements) are there?

Hammond, Discrete Math for Shockers, §1.2 Sets, Exercise 14

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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.