Solve 48*47*4!*3/52*51*50*49

$$\frac { 48 \cdot 47 \cdot 4 ! \cdot 3 } { 52 \cdot 51 \cdot 50 \cdot 49 }$$

Evaluate

$$\frac{6768}{270725}\approx 0.024999538$$

Solution Steps

Cancel out 2\times 3\times 4 in both numerator and denominator.

$$\frac{2\times 3\times 47\times 4!}{13\times 17\times 25\times 49}$$

Multiply 2 and 3 to get 6.

$$\frac{6\times 47\times 4!}{13\times 17\times 25\times 49}$$

Multiply 6 and 47 to get 282.

$$\frac{282\times 4!}{13\times 17\times 25\times 49}$$

The factorial of 4 is 24.

$$\frac{282\times 24}{13\times 17\times 25\times 49}$$

Multiply 282 and 24 to get 6768.

$$\frac{6768}{13\times 17\times 25\times 49}$$

Multiply 13 and 17 to get 221.

$$\frac{6768}{221\times 25\times 49}$$

Multiply 221 and 25 to get 5525.

$$\frac{6768}{5525\times 49}$$

Multiply 5525 and 49 to get 270725.

$$\frac{6768}{270725}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 47}{5 ^ {2} \cdot 7 ^ {2} \cdot 13 \cdot 17} = 0.0249995382768492$$