14*13*12*11*10*9*8*7*6*5*4*3*2*1/2*1*1*1*1*1= eching

$$\frac { 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } { 2 \cdot 1 \cdot 1 \cdot 1 \cdot 1 \cdot 1 } =$$

Baholash

$$43589145600$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$2\times 3\times 4\times 5\times 6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6\times 4\times 5\times 6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

24 hosil qilish uchun 6 va 4 ni ko'paytirish.

$$24\times 5\times 6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

120 hosil qilish uchun 24 va 5 ni ko'paytirish.

$$120\times 6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

720 hosil qilish uchun 120 va 6 ni ko'paytirish.

$$720\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

5040 hosil qilish uchun 720 va 7 ni ko'paytirish.

$$5040\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

35280 hosil qilish uchun 5040 va 7 ni ko'paytirish.

$$35280\times 8\times 9\times 10\times 11\times 12\times 13$$

282240 hosil qilish uchun 35280 va 8 ni ko'paytirish.

$$282240\times 9\times 10\times 11\times 12\times 13$$

2540160 hosil qilish uchun 282240 va 9 ni ko'paytirish.

$$2540160\times 10\times 11\times 12\times 13$$

25401600 hosil qilish uchun 2540160 va 10 ni ko'paytirish.

$$25401600\times 11\times 12\times 13$$

279417600 hosil qilish uchun 25401600 va 11 ni ko'paytirish.

$$279417600\times 12\times 13$$

3353011200 hosil qilish uchun 279417600 va 12 ni ko'paytirish.

$$3353011200\times 13$$

43589145600 hosil qilish uchun 3353011200 va 13 ni ko'paytirish.

$$43589145600$$

Omil

$$2^{10}\times 3^{5}\times 5^{2}\times 7^{2}\times 11\times 13$$