SOLUTION: To make a committee 4 men are to be chosen out of 6 candidates. What is the probability that certain 2 people will serve on that committee?

Question 1120765: To make a committee 4 men are to be chosen out of 6 candidates. What is the probability that certain 2 people will serve on that committee?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Overall you need to choose 4 of the 6 men; the number of ways is 6 choose 4 = 6C4 = 20.

The requirement is that you choose 2 of a particular 2 men (2C2 = 1) AND 2 of the remaining 4 (4C2 = 6).

The probability of getting a committee with the 2 particular men is

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