SOLUTION: If I choose 3 best friends among France, Gwen, Jacque, Jasmin, and Kelly, and choose another 2 best friends among Benedict, JD and John, how many different combinations of best fri

Algebra ->  Permutations -> SOLUTION: If I choose 3 best friends among France, Gwen, Jacque, Jasmin, and Kelly, and choose another 2 best friends among Benedict, JD and John, how many different combinations of best fri      Log On


   



Question 1037151: If I choose 3 best friends among France, Gwen, Jacque, Jasmin, and Kelly, and choose another 2 best friends among Benedict, JD and John, how many different combinations of best frienda can I have?
A. 8
B. 13
C. 30
D. 360
I got 13, but it said 30?

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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If I choose 3 best friends among France, Gwen, Jacque, Jasmin, and Kelly, and choose another 2 best friends among Benedict, JD and John,
how many different combinations of best friends can I have?
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(chosing 3 of 5} x (chosing 2 of 3) is


C%5B5%5D%5E3%2AC%5B3%5D%5E2 = %285%2A4%29%2F%281%2A2%29 . %283%2A2%29%2F%281%2A2%29 = 10%2A3 = 30.


Here C%5Bn%5D%5Ek is the number of combinations n elements taken k at a time.

On combinations see the lesson Introduction to Combinations in this site.