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Popular >

simplify (5!)/((5-4)!4!)

Solution

simplify

\frac{5 !}{( 5 - 4 ) ! 4 !}

Solution

5

Solution steps

\frac{5 !}{( 5 - 4 ) ! \cdot 4 !}

Subtract the numbers:

5 - 4 = 1

= \frac{5 !}{1 ! \cdot 4 !}

Cancel the factorials:

\frac{n !}{( n - m ) !} = n \cdot (n - 1) \dots (n - m + 1), n > m

\frac{5 !}{4 !} = 5

= \frac{5}{1 !}

\frac{5}{1 !} = 5

= 5

Popular Examples

factor 8xy^3+56x^2y factor

8 x y^{3} + 56 x^{2} y

factor 3a^2-13a+4 factor

3 a^{2} - 13 a + 4

factor 3n^2+13n+4 factor

3 n^{2} + 13 n + 4

\frac{3 + r}{7} \leq 5

2(w-1)+4w=3(w-1)+7

2 (w - 1) + 4 w = 3 (w - 1) + 7

Frequently Asked Questions (FAQ)

What is (5!)/((5-4)!4!) ?
The solution to (5!)/((5-4)!4!) is 5