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 1 cat?

Question 352191: 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 1 cat?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
*Note: The probability of x successes in n trials is:
.
P = nCx* * where p and q are the probabilities of success and failure respectively.
.
nCx =
.
Question states p(dog drawn) = 10/25 0r .4 and q (cat drawn) = .6
.
Probability (At least 1 cat) = 1 - P(no cats)
P(no cats)
7C7 =
.
P(no cats) = = .0016
.
1 - P(no cats) = .9983
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