Lutasin ang 32!/(32-4)!4!

$$\frac{ 32 ! }{ (32-4) ! 4 ! }$$

I-evaluate

$$35960$$

Mga Hakbang ng Solution

Ang factorial ng 32 ay 263130836933693530167218012160000000.

$$\frac{263130836933693530167218012160000000}{\left(32-4\right)!\times 4!}$$

I-subtract ang 4 mula sa 32 para makuha ang 28.

$$\frac{263130836933693530167218012160000000}{28!\times 4!}$$

Ang factorial ng 28 ay 304888344611713860501504000000.

$$\frac{263130836933693530167218012160000000}{304888344611713860501504000000\times 4!}$$

Ang factorial ng 4 ay 24.

$$\frac{263130836933693530167218012160000000}{304888344611713860501504000000\times 24}$$

I-multiply ang 304888344611713860501504000000 at 24 para makuha ang 7317320270681132652036096000000.

$$\frac{263130836933693530167218012160000000}{7317320270681132652036096000000}$$

I-divide ang 263130836933693530167218012160000000 gamit ang 7317320270681132652036096000000 para makuha ang 35960.

$$35960$$

I-factor

$$2^{3}\times 5\times 29\times 31$$