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An all-male club is considering opening its membership to women. In a preliminary survey on the issue, 19 of the 30 members favored admitting women, and 11 did not. A committee of six is to be chosen to give further study to the issue. (a) How many committees of six can be formed from the club membership? (b) How many committees will contain at least three men who, in the preliminary survey,favored opening membership to women?

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