SOLUTION: In how many ways can a committee of 5 be chosen from 10 candidates so as to (a) include the youngest and the eldest (b) exclude the youngest if it includes the eldest?

Question 446414: In how many ways can a committee of 5 be chosen from 10 candidates so as to
(a) include the youngest and the eldest
(b) exclude the youngest if it includes the eldest?

Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
A-
There is only one way to include the eldest
There is only one way to include the youngest.
That leaves 8 others to choose from for three positions.
1*1*8*7*6
B-
This one I am not sure of.
How do you know if the eldest is there?
if the eldest isn't there
10*9*8*7*6
if the eldest is there
we leave out the youngest so there are only 8 ways left
1*8*7*6*5

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