SOLUTION: if group 1 consists of 51 objects, group 2 consists of 47 objects, and group 3 consists of two objects. How many committees can be formed if each committee must have 5 of group 1

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Question 517839: if group 1 consists of 51 objects, group 2 consists of 47 objects, and group 3 consists of two objects. How many committees can be formed if each committee must have 5 of group 1 and 4 of group 2?
Answer by stanbon(75887) About Me  (Show Source):
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if group 1 consists of 51 objects, group 2 consists of 47 objects, and group 3 consists of two objects. How many committees can be formed if each committee must have 5 of group 1 and 4 of group 2?
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# of ways to choose 5 from group1: 51C5
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# of ways to choose 4 from group2: 47C4
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# of different committees: 51C5*47C4 = 4.1899x10^11
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Cheers,
Stan H.
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