6!3!/4!7! eching

$$\frac{ 6 ! 3 ! }{ 4 ! 7 ! }$$

Baholash

$$\frac{1}{28}\approx 0,035714286$$

Yechim qadamlari

6 ning faktoriali 720 ga teng.

$$\frac{720\times 3!}{4!\times 7!}$$

3 ning faktoriali 6 ga teng.

$$\frac{720\times 6}{4!\times 7!}$$

4320 hosil qilish uchun 720 va 6 ni ko'paytirish.

$$\frac{4320}{4!\times 7!}$$

4 ning faktoriali 24 ga teng.

$$\frac{4320}{24\times 7!}$$

7 ning faktoriali 5040 ga teng.

$$\frac{4320}{24\times 5040}$$

120960 hosil qilish uchun 24 va 5040 ni ko'paytirish.

$$\frac{4320}{120960}$$

\frac{4320}{120960} ulushini 4320 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{28}$$

Omil

$$\frac{1}{2 ^ {2} \cdot 7} = 0,03571428571428571$$