Q.4 Find n, if: 42 x (n-1)!.
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Step-by-step explanation:
(n+1)!=42(n−1)!
⇒(n+1)(n)(n−1)!=42(n−1)
⇒n
2
+n−42=0
⇒n
2
+7n−6n−42=0
⇒n(n+7)−6(n+7)=0
⇒(n+7)(n−6)=0
⇒n=−7,n=6
∴n=6.
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