Solve ((7*6*5*4*3)-6!)

$$((7 \times 6 \times 5 \times 4 \times 3)-6 ! )$$

Evaluate

$$1800$$

Solution Steps

Multiply 7 and 6 to get 42.

$$42\times 5\times 4\times 3-6!$$

Multiply 42 and 5 to get 210.

$$210\times 4\times 3-6!$$

Multiply 210 and 4 to get 840.

$$840\times 3-6!$$

Multiply 840 and 3 to get 2520.

$$2520-6!$$

The factorial of 6 is 720.

$$2520-720$$

Subtract 720 from 2520 to get 1800.

$$1800$$

Factor

$$2^{3}\times 3^{2}\times 5^{2}$$