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A committee of 8 students is to be selected from a class consisting of 19 freshmen and 34 sophomores in how many ways can a committeee with at least 1 freshman be selected?
Wiki User
∙ 14y ago
This number is 19(52)(52-1)(52-2)(52-3)(52-4)(52-5)(52-6)(52-7), or approximately 5.89 X 1014.
The reasoning is as follows: Any one of the 19 freshman can be selected first. After this choice is made, there are 52 remaining persons (34 + 19 -1) from among whom the second position on the committee can be chosen, 52 -2 remaining persons for the third position, etc.)
Wiki User
∙ 14y ago
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