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Math  /  Numbers & Operations

Question2!5!2!5! mplify your answer as much as possible.

Studdy Solution

STEP 1

1. The expression to simplify is 5!2! \frac{5!}{2!} .
2. Factorials are defined as the product of all positive integers up to a given number.
3. We will simplify the expression by calculating the factorials and then dividing.

STEP 2

1. Calculate the factorials.
2. Simplify the expression.

STEP 3

Calculate 5! 5! .
5!=5×4×3×2×1=120 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120

STEP 4

Calculate 2! 2! .
2!=2×1=2 2! = 2 \times 1 = 2

STEP 5

Substitute the factorial values into the expression 5!2! \frac{5!}{2!} .
5!2!=1202 \frac{5!}{2!} = \frac{120}{2}

STEP 6

Divide 120 120 by 2 2 to simplify the expression.
1202=60 \frac{120}{2} = 60
The simplified expression is:
60\boxed{60}

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