SOLUTION: Evaluate 9P2 Evaluate 9C2 A group of three men and two women are to be seated in a row of five chairs. In how many ways can this be done if: a. There are no restrictions?

Algebra ->  Permutations -> SOLUTION: Evaluate 9P2 Evaluate 9C2 A group of three men and two women are to be seated in a row of five chairs. In how many ways can this be done if: a. There are no restrictions?       Log On


   

Question 93735: Evaluate 9P2
Evaluate 9C2
A group of three men and two women are to be seated in a row of five chairs. In how many ways can this be done if:
a. There are no restrictions?
b. The men and women must alternate?
c. The two women must be seated at the ends of the rows?
Thank you so much for your help! Caroline
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate 9C2 = [9*8]/[1*2] = 36
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A group of three men and two women are to be seated in a row of five chairs. In how many ways can this be done if:
a. There are no restrictions?..........5! = 120
b. The men and women must alternate?.......3*2*2*1*1= 12
c. The two women must be seated at the ends of the rows? 3!*2! = 12
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Cheers,
Stan H.