SOLUTION: How many committees of four can be selected from a group of seven if the same person must be included in each committee?

Question 459586: How many committees of four can be selected from a group of seven if the same person must be included in each committee?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
How many committees of four can be selected from a group of seven if the same person must be included in each committee?

Suppose the person who must be in each committee is named Bob.

The problem amounts to selecting 3 from the 6 people besides Bob
to put in a committee with Bob.  So the answer is "6 things choose 3".

6C3 = (6*5*4)/(3*2*1) = 120/6 = 30

Edwin

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