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Simplifying Factorials

Simplifying Factorials

Author: mary daunis

to illustrate how simplifying factorial quotients is done

When you see a quotient containing factorials, don't multiply - simplify - use what you know about reducing fractions to make the common factors in the numerator and denominator disappear - you should get a whole number when the factorial quotient arises from a binomial coefficient problem - if you don't get a whole number, look for an error.

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Simplifying a Quotient Containing Factorials

I show you how to treat this as a problem just like reducing a fraction. Since factorials are factors, all you need to do is find common factors in the numerator and denominator - then reduce!