SOLUTION: In how many ways can 5 states be selected from the top 10 states with the most murders if the order of 5 states does not matter.

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Question 1072682: In how many ways can 5 states be selected from the top 10 states with the most murders if the order of 5 states does not matter.
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
10 choose any 5:
10!/(10-5)!5!
= 10!/5!5!
= 10*9*8*7*6/5*4*3*2 divide 10 and 5 by 5 and simplify again:
= 2*9*8*7*6/1*4*3*2 now divide 9 and 3 by 3 and simplify:
= 2*3*8*7*6/1*4*1*2 you get the idea, simplify the rest:
= 2*3*2*7*3/1*1*1*1
= 2*3*2*7*3 = 252