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Four Companies

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There are four companies, in one of which there are 6 men, in another 8, and in each of the remaining two, 9 men.  How many ways can a committee of 4 men be composed by choosing one man from each company? (Greenleaf's National Arithmetic, 1857)

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"Four Companies," Loci (February 2006)

Dummy View - NOT TO BE DELETED