solve (n-2)! / ( n-8)!
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Answer:
By definition of factorials
(n-7)! = (n-7)*(n-7-1)*(n-7-2)*…*1 = (n-7)*(n-8)*(n-9)*…*1
(n-8)! = (n-8)*(n-8-1)*(n-8-2)*…*1 = (n-8)*(n-9)*…*1
(n-7)! = (n-7)*(n-8)!
Likewise, 8! = 8*7!
Equating the two given expressions you have:
7!(n-7)! = 8!(n-8)!
Substituting for (n-7)! on the left side and 8! on the right side you have:
7!(n-7)(n-8)! = 8*7!(n-8)!
Dividing both sides by 7!(n-8)! You are left with
n – 7 = 8
Hence n = 15
Step-by-step explanation:
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