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ruduo
@ruduo
November 2021
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Решение выражений с факториалами:
70!/68!*5!
8!+9!/7!
12!-10!/11!
(n+2)!/(n-1)!
(n-2)!/(n-4)!
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uekmyfhfp
70!/68!*5! = 68!*69*70/ 67!*5 = 69*70/120 = 69*7/12= 483/12.
8!+9!/7!= 8*7! +8* 9*7! / 7! = 7!(8+72) / 7! = 81 .
12!-10!/11! = 11*12*10! - 10! / 11*10! = 10!(132- 1) / 11* 10! = 131/11.
(n+2)!/(n-1)! = n*(n+1)(n+2)*(n-1)! / (n-1)! = n(n+1)(n+2).
(n-2)!/(n-4)! = (n-2)*(n-3)*(n-4)! / (n-4)! = (n-2)(n-3)
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Answers & Comments
8!+9!/7!= 8*7! +8* 9*7! / 7! = 7!(8+72) / 7! = 81 .
12!-10!/11! = 11*12*10! - 10! / 11*10! = 10!(132- 1) / 11* 10! = 131/11.
(n+2)!/(n-1)! = n*(n+1)(n+2)*(n-1)! / (n-1)! = n(n+1)(n+2).
(n-2)!/(n-4)! = (n-2)*(n-3)*(n-4)! / (n-4)! = (n-2)(n-3)