SOLUTION: I have the numbers 1 through 60. I have to choose 5 of these numbers. How many different ways could i accomplish this?

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Question 889289: I have the numbers 1 through 60. I have to choose 5 of these numbers. How many different ways could i accomplish this?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
We have 60 things, and we are to choose 5.  That's

60 choose 5 = 60C5, also sometimes written C(60,5) or %28matrix%282%2C1%2C60%2C5%29%29,

computed %2860%2A59%2A58%2A57%2A56%29%2F%285%2A4%2A3%2A2%2A1%29 

(5 factors in the numerator, 5 factors in the denominator)

Then the entire denominator always cancels entirely into the numerator,
and you end up with a huge number of ways

5,461,512 = five million four hundred sixty one thousand five hundred twelve.

Edwin