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5! = 1*2*3*4*5 = 120
3! + 4! = 3! + 3!*4 = 3! * (1+4) = 1*2*3 * 5 = 30
5! - 4! = 4!*5 - 4! = 4! * (5-1) = 1*2*3*4 * 4 = ...
2! * 4! = 2! * 2!*3*4 = 2! * (1 * 12) = 1*2 * 12 = 24
6! / 5! = 5!*6 / 5! = (5! / 5!) * 6 = 6
100! / 98! = 98!*99*100 / 98! = 98!/98! * 99*100 = 9900
6! / 4!*2! = 4!*5*6 / 4!*2! = 4!/4! * 30/1*2 = 15

5! = 1*2*3*4*5 = 120

3! + 4! = 3! + 3!*4 = 3! * (1+4) = 1*2*3 * 5 = 30

5! - 4! = 4!*5 - 4! = 4! * (5-1) = 1*2*3*4 * 4 = ...

2! * 4! = 2! * 2!*3*4 = 2! * (1 * 12) = 1*2 * 12 = 24

6! / 5! = 5!*6 / 5! = (5! / 5!) * 6 = 6

100! / 98! = 98!*99*100 / 98! = 98!/98! * 99*100 = 9900

6! / 4!*2! = 4!*5*6 / 4!*2! = 4!/4! * 30/1*2 = 15

50! / 47!*3! = 47!*48*49*50 / 47!*3! = 47!/47! * 48*49*50/1*2*3 =
= 48/3 * 49 * 50/2 = 16 * 49 * 25 = ...

(6! + 7! + 5!) / (8!- 7!) = (5!*6 + 5!*6*7 + 5!) / (7!*7 - 7!) =
= 5! * (6+6*7+1) / 7!*(7-1) = 5!/7! * 7*(1+6)/6 = 5!/5!*6*7 * 49/6 =
= 6*7 * 49/6 = 7*49 = ...

(9! + 2*9! + 3*9!) / 10! = 9! * (1+2+3) / 9!*10 = 9!/9! * 6/10 = 3/5

(101!*100 + 100!*101) / (101! - 100!) =
= (100!*100 + 100!*101) / (100!*101 - 100!) =
= 100! * (100+101) / 100! * (101-1) =
= 100!/100! * 201/100 = 2,01

2)
4! = 1*2*3*4

4! = 1*2*3*4 > 5

4! * 3! = 1*2*3*4 * 1*2*3 = 1*6*4 * 6 = 6*(4*1) = 6*4 < 5*6

5! + 6! = 5! * 5!*6 = 5! * 7 < 5! * 8

999!/998! = 998! * 999 / 998! = 999
1000!/999! = 999! * 1000/999! = 1000 => больше

500! / 498!*12 = 498!*499*500 / 498!*12 = 499*500/12 = 499/4 * (500/3)
500! / 499!*3 = 499!*500 / 499!*3 = 500/3 - меньше