math

A bag contains three red marbles, three green ones, one lavender one, five yellows, and two orange marbles.

How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?

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  1. number with 1 Lavender = 1 x C(13,4) = 715
    number with 1 yellow = C(5,1) x C(9,4) = 630
    exclude yellow and lavender = C(8,5) = 56

    number as described = 715+630-56 = 1289

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