SOLUTION: a committee of 3 is to be formed from a group consisting of 5 men and 2 ladies. find the probability that(1) the committee does not include any lady (2)the committee includes both

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Question 892927: a committee of 3 is to be formed from a group consisting of 5 men and 2 ladies. find the probability that(1) the committee does not include any lady (2)the committee includes both the ladies
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
a committee of 3 is to be formed from a group consisting of 5 men and 2 ladies.
find the probability that(1) the committee does not include any lady
That's the probability of selecting 3 men from the 5.

The number of ways to select 3 men is

5 men Choose 3 or 5C3 or C(5,3) = 10 ways

The number of ways to select ANY 3 from the 7 humans is 

7 humans Choose 3 or 7C3 or C(7,3) = 35 ways

That's 10 ways out 35 ways or  which reduces to .

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(2)the committee includes both the ladies.

We only need to choose 1 of the 5 men to go with the two ladies.

That's 5 ways out of 35 ways or  which reduces to .

Edwin
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