lceil1!2!3!rceilleft|2!3!4!right|lfloor3!4!5!rfloor eching

$$\lceil 1 ! 2 ! 3 ! \rceil \left| 2 ! 3 ! 4 ! \right| \lfloor 3 ! 4 ! 5 ! \rfloor$$

Baholash

$$59719680$$

Yechim qadamlari

1 ning faktoriali 1 ga teng.

$$\lceil 1\times 2!\times 3!\rceil |2!\times 3!\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

2 ning faktoriali 2 ga teng.

$$\lceil 1\times 2\times 3!\rceil |2!\times 3!\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\lceil 2\times 3!\rceil |2!\times 3!\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

3 ning faktoriali 6 ga teng.

$$\lceil 2\times 6\rceil |2!\times 3!\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

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

$$\lceil 12\rceil |2!\times 3!\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

a haqiqiy sonning potolok funksiyasi a dan katta eng kichik butun songa yoki o‘ziga teng. 12 ning potologi 12 ga teng.

$$12|2!\times 3!\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

2 ning faktoriali 2 ga teng.

$$12|2\times 3!\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

3 ning faktoriali 6 ga teng.

$$12|2\times 6\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

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

$$12|12\times 4!|\lfloor 3!\times 4!\times 5!\rfloor$$

4 ning faktoriali 24 ga teng.

$$12|12\times 24|\lfloor 3!\times 4!\times 5!\rfloor$$

288 hosil qilish uchun 12 va 24 ni ko'paytirish.

$$12|288|\lfloor 3!\times 4!\times 5!\rfloor$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. 288 ning mutloq qiymati 288 ga teng.

$$12\times 288\lfloor 3!\times 4!\times 5!\rfloor$$

3456 hosil qilish uchun 12 va 288 ni ko'paytirish.

$$3456\lfloor 3!\times 4!\times 5!\rfloor$$

3 ning faktoriali 6 ga teng.

$$3456\lfloor 6\times 4!\times 5!\rfloor$$

4 ning faktoriali 24 ga teng.

$$3456\lfloor 6\times 24\times 5!\rfloor$$

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

$$3456\lfloor 144\times 5!\rfloor$$

5 ning faktoriali 120 ga teng.

$$3456\lfloor 144\times 120\rfloor$$

17280 hosil qilish uchun 144 va 120 ni ko'paytirish.

$$3456\lfloor 17280\rfloor$$

a haqiqiy sonning pol funksiyasi a dan kichik eng katta butun songa yoki o‘ziga teng. 17280 ning poli 17280 ga teng.

$$3456\times 17280$$

59719680 hosil qilish uchun 3456 va 17280 ni ko'paytirish.

$$59719680$$

Omil

$$2^{14}\times 3^{6}\times 5$$