What is the number of selections of <strong>AT MOST</strong> 3 things from 6 different things?

Explanation

Selections of at most 3 items means selecting 0, 1, 2, or 3 items. Total ways = \binom{6}{0} + \binom{6}{1} + \binom{6}{2} + \binom{6}{3} = 1 + 6 + 15 + 20 = 42.

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