SOLUTION: how many ways can a chair, a recording secretary and three other committee members be selected from a group of 8 people? A. 56 B. 1120 C. 6720 D. 3136 How do I figure

Question 85534: how many ways can a chair, a recording secretary and three other committee members be selected from a group of 8 people?

A. 56
B. 1120
C. 6720
D. 3136

How do I figure this problem?? These things are driving me nuts.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how many ways can a chair, a recording secretary and three other committee members be selected from a group of 8 people?
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Take it a step at a time just as you would if you were actually doing it.
8 ways to pick a chairperson.
7 ways to pick a recording secretary
That leaves you with 6 people and you want to pick three.
6C3 ways to pick a group of three from a set of 6
--------------
Total number of ways to pick
= 8*7*(6C3)
= 8*7*(6*5*4/1*2*3)
= 56*20
= 1120
==========
Cheers,
Stan H.
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