Solve 11*10*9*8*7*6*5*4*3*2*1/2*1*2*1*2*1

$$\frac { 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } { 2 \cdot 1 \cdot 2 \cdot 1 \cdot 2 \cdot 1 }$$

Evaluate

$$4989600$$

Solution Steps

Cancel out 2\times 2\times 2 in both numerator and denominator.

$$2\times 2\times 3\times 4\times 5\times 5\times 6\times 7\times 9\times 11$$

Multiply 2 and 2 to get 4.

$$4\times 3\times 4\times 5\times 5\times 6\times 7\times 9\times 11$$

Multiply 4 and 3 to get 12.

$$12\times 4\times 5\times 5\times 6\times 7\times 9\times 11$$

Multiply 12 and 4 to get 48.

$$48\times 5\times 5\times 6\times 7\times 9\times 11$$

Multiply 48 and 5 to get 240.

$$240\times 5\times 6\times 7\times 9\times 11$$

Multiply 240 and 5 to get 1200.

$$1200\times 6\times 7\times 9\times 11$$

Multiply 1200 and 6 to get 7200.

$$7200\times 7\times 9\times 11$$

Multiply 7200 and 7 to get 50400.

$$50400\times 9\times 11$$

Multiply 50400 and 9 to get 453600.

$$453600\times 11$$

Multiply 453600 and 11 to get 4989600.

$$4989600$$

Factor

$$2^{5}\times 3^{4}\times 5^{2}\times 7\times 11$$