SOLUTION: A box contains 5 red, 4 blue, and 3 white balls. In how many ways can we select 4 balls such that exactly 2 are blue?
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Question 1202292: A box contains 5 red, 4 blue, and 3 white balls. In how many ways can we select 4 balls such that exactly 2 are blue? Answer by ikleyn(52782) (Show Source):
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A box contains 5 red, 4 blue, and 3 white balls.
In how many ways can we select 4 balls such that exactly 2 are blue?
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So, there are 4 blue balls and 5+3 = 8 not-blue balls in the box.
We can select 2 blue balls from 4 blue balls in = = 6 different ways.
We can select 2 not-blue balls from 8 not-blue balls in = = 28 different ways.
Thus we can comprise a quadruple consisting of 2 blue and 2 not-blue balls in
= 6*28 = 168 different ways. ANSWER