SOLUTION: A committee consists of seven students. Three of the seven will be chosen to head subcommittees on scholarship, intramural sports, and entertainment. In how many ways can the subco

Algebra ->  Permutations -> SOLUTION: A committee consists of seven students. Three of the seven will be chosen to head subcommittees on scholarship, intramural sports, and entertainment. In how many ways can the subco      Log On


   

Question 1092441: A committee consists of seven students. Three of the seven will be chosen to head subcommittees on scholarship, intramural sports, and entertainment. In how many ways can the subcommittee heads be selected?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Notice, that the order of people (who is selected to which position) is important in this problem, 

        and different orders define different selections.


Therefore, the answer is:  in 7*6*5 = 210 ways.


Anyone of 7               to the first position.

Anyone of the remaining 6 to the second position.

Anyone of the remaining 5 to the third position.