Questions: Evaluate 6151 8121 Simplify your answer as much as possible.

Solution Steps

First, expand $6!$ and $5!$: $$6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1$$ $$5! = 5 \times 4 \times 3 \times 2 \times 1$$

Substitute the expanded forms of $6!$ and $5!$ into the expression $\frac{6!}{5!}$: $$\frac{6!}{5!} = \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1}$$

Cancel out the common terms in the numerator and denominator: $$\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} = 6$$

The simplified result is $6$.

Final Answer