SOLUTION: Please help with this homework:
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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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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Question 419276: Please help with this homework:
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 sudhanshu_kmr(1152) (Show Source):
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no. of total ways = 25C7 ( there is no restrictions)
no. of ways when there is no cat, only dogs = 10C7
now, we eliminate this value from previous value,
total no. of ways when at least one cat = 25C7 - 10C7
= 480700 - 120
= 480580
