SOLUTION: Seven workers decided to send a delegation of 2 to their supervisor to discuss their grievances. (a)How many different delegations are possible? (b)If it is decided that a ce

Question 116211: Seven workers decided to send a delegation of 2 to their supervisor to discuss their grievances.
(a)How many different delegations are possible?
(b)If it is decided that a certain employee must be in the delegation, how many different delegations are possible?
(c)If there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
a.
How many combinations of 2 out 7 people are there?
n=7 r=2
C=n!/(n-r)!*r!
=7!/(7-2)!*2!
=7*6*5*4*3*2/5*4*3*2*2
=7*6/2=21 Ans.
.
b.
6 (any one of the other people.)
.
c.
6/21+5/21=11/21 chances at least one is a women.
.
Ed

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