# SOLUTION: in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?

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 Click here to see ALL problems on Permutations Question 356644: in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat? ------------ # of committees with no cats: 10C7 --- # of committees with no restrictions: 25C7 ---- # of committees with at least one cat: 25C7 - 10C7 = 480,580 ====================== Cheers, Stan H.