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July 24, 2016
Posted by **Hanna** on Friday, September 7, 2012 at 6:51pm.

- math -
**MathMate**, Saturday, September 8, 2012 at 9:57am100 choose 4, or C(100,4) where

C(n,r) is defined as

C(n,r)=n!/[r!(n-r)!]

Think of choosing the first number out of 100 choices. We can choose the next number from the remaining 99 numbers, then 98, then 97.

By the rule of multiplication of a multi-step experiment, we have

100*99*98*97 possible outcomes, which correspond exactly to C(100,4).