5!/49!*2! eching

$$\frac{ 5 ! }{ 49 ! \times 2 ! }$$

Baholash

$$\frac{1}{10138031067237792681204202722021589614792547189653504000000000}\approx 9,86384825 \cdot 10^{-62}$$

Yechim qadamlari

5 ning faktoriali 120 ga teng.

$$\frac{120}{49!\times 2!}$$

49 ning faktoriali 608281864034267560872252163321295376887552831379210240000000000 ga teng.

$$\frac{120}{608281864034267560872252163321295376887552831379210240000000000\times 2!}$$

2 ning faktoriali 2 ga teng.

$$\frac{120}{608281864034267560872252163321295376887552831379210240000000000\times 2}$$

1216563728068535121744504326642590753775105662758420480000000000 hosil qilish uchun 608281864034267560872252163321295376887552831379210240000000000 va 2 ni ko'paytirish.

$$\frac{120}{1216563728068535121744504326642590753775105662758420480000000000}$$

\frac{120}{1216563728068535121744504326642590753775105662758420480000000000} ulushini 120 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{10138031067237792681204202722021589614792547189653504000000000}$$

Omil

$$\frac{1}{2 ^ {44} \cdot 3 ^ {21} \cdot 5 ^ {9} \cdot 7 ^ {8} \cdot 11 ^ {4} \cdot 13 ^ {3} \cdot 17 ^ {2} \cdot 19 ^ {2} \cdot 23 ^ {2} \cdot 29 \cdot 31 \cdot 37 \cdot 41 \cdot 43 \cdot 47} = 9,863848249899473 \times 10^{-62}$$