Assume that a flower bed contains 40 flowers. Suppose that 8 of the flowers are white, 8 of the flowers are pink, 8 are yellow, 8 are orange, and 8 are green. Suppose that 10 flowers are randomly selected, without replacement. What is the probability that exactly 2 of the flowers are yellow, exactly 4 of the flowers are another common color and exactly 4 of the flowers are a third common color

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume that a flower bed contains 40 flowers. Suppose that 8 of the flowers are white, 8 of the flowers are pink, 8 are yellow, 8 are orange, and 8 are green.

Suppose that 10 flowers are randomly selected, without replacement. What is the probability that exactly 2 of the flowers are yellow, exactly 4 of the flowers are another common color and exactly 4 of the flowers are a third common color? 

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If r distinct items are to be chosen from n items without replacement so that the order of selection is immaterial, then the number of possible selections can be obtained using the combination rule, with (nCr) = n! / [r! (nr)!] = [n (n – 1) … (nr + 1)] / r!

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