Question

Evaluate the factorial expression 12!/11!

Answer 1

12

Explanation:

A factorial is a function of an integer number n, so that

n! = n*(n-1)*(n-2)*...*1

Fractions with factorials like the one in the question offer themselves to simplification via canceling out common parts with same factors to avoid long multiplications of the actual factorials (which can become quickly unmanageable):

`(12!)/(11!)=(12\cdot11\cdot10 \cdot\cdot\cdot 1)/(11\cdot11\cdot10 \cdot\cdot\cdot 1) = (12)/(1)=12`