5!2!/6!4! eching

$$\frac { 5 ! 2 ! } { 6 ! 4 ! }$$

Baholash

$$\frac{1}{72}\approx 0,013888889$$

Yechim qadamlari

5 ning faktoriali 120 ga teng.

$$\frac{120\times 2!}{6!\times 4!}$$

2 ning faktoriali 2 ga teng.

$$\frac{120\times 2}{6!\times 4!}$$

240 hosil qilish uchun 120 va 2 ni ko'paytirish.

$$\frac{240}{6!\times 4!}$$

6 ning faktoriali 720 ga teng.

$$\frac{240}{720\times 4!}$$

4 ning faktoriali 24 ga teng.

$$\frac{240}{720\times 24}$$

17280 hosil qilish uchun 720 va 24 ni ko'paytirish.

$$\frac{240}{17280}$$

\frac{240}{17280} ulushini 240 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{72}$$

Omil

$$\frac{1}{2 ^ {3} \cdot 3 ^ {2}} = 0,013888888888888888$$