Finite Math Examples

$\frac{7!}{7 - 5}$

Step 1

Simplify the numerator.

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Step 1.1

Expand $7!$ to $7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$\frac{7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{7 - 5}$

Step 1.2

Multiply $7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

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Step 1.2.1

Multiply $7$ by $6$ .

$\frac{42 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{7 - 5}$

Step 1.2.2

Multiply $42$ by $5$ .

$\frac{210 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{7 - 5}$

Step 1.2.3

Multiply $210$ by $4$ .

$\frac{840 \cdot 3 \cdot 2 \cdot 1}{7 - 5}$

Step 1.2.4

Multiply $840$ by $3$ .

$\frac{2520 \cdot 2 \cdot 1}{7 - 5}$

Step 1.2.5

Multiply $2520$ by $2$ .

$\frac{5040 \cdot 1}{7 - 5}$

Step 1.2.6

Multiply $5040$ by $1$ .

$\frac{5040}{7 - 5}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $5$ from $7$ .

$\frac{5040}{2}$

Step 2.2

Divide $5040$ by $2$ .

$2520$