Question 1037151
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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[5]^3*C[3]^2}}} = {{{(5*4)/(1*2)}}} . {{{(3*2)/(1*2)}}} = {{{10*3}}} = 30.


Here {{{C[n]^k}}} is the number of combinations n elements taken k at a time.
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On combinations see the lesson <A HREF=https://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A> in this site.