simplify (9!)/((9-4)!) — step-by-step solution

Let's simplify:

\frac{9!}{(9 - 4)!}

ⓘ For integers n ≥ m ≥ 0, n! = n·(n−1)⋯(m+1)·m!; cancel the common factor m!, which is never zero:

\frac{9!}{(9 - 4)!}

9 \times 8 \times 7 \times 6

9 \times 8 \times 7 \times 6

ⅰ

9 \times 8

72

■

7 \times 6

42

72 \times 42

ⅰ

72 \times 42

72 \times (40 + 2)

72 \times 40 + 72 \times 2

2880 + 144

3024

▶Simplified form:

3024