Question
Download Solution PDFIf (n + 3)! = 56 [(n + 1)!], find n.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
n! = n(n - 1)(n - 2)(n - 3).....3.2.1
Calculation:
Given that,
(n + 3)! = 56 [(n + 1)!]
⇒ (n + 3)(n + 2)(n + 1)! = 56[(n + 1)!]
⇒ (n + 3)(n + 2) = 56
⇒ n2 + 5n - 50 = 0
⇒ n2 + 10n - 5n - 50 = 0
⇒ (n + 10)(n - 5) = 0
⇒ n = 5, - 10
Hence, n = 5 is the required value.
Last updated on May 30, 2025
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