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

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(52780) (Show Source): You can put this solution on YOUR website!
.

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.

RELATED QUESTIONS
Q15 In how many ways can we distribute seven apple and six oranges among 4 children so... (answered by lynnlo)

From a group of eight women and seven men, a committee of six is chosen randomly. Find... (answered by edjones)

A college planning committee consists of 3 freshman, 4 sophomores, 5 juniors, and 2... (answered by stanbon)

4. Seven students volunteer for a committee. How many different three-person committees (answered by stanbon)

In how many ways can a committee of six people be chosen from 4 men and 7 women if at... (answered by edjones)

1. A school’s faith awareness group consists of 15 students and 3 teachers. If four... (answered by Boreal)

Suppose a college scholarship committee must select two students to receive a... (answered by ewatrrr)

A committee of three people is selected at random from a set consisting of seven... (answered by ikleyn)

An office consists of seven men and four women. If three are chosen for a committee, how... (answered by ikleyn)