31. If ^np5 = 42^np3, n>4. Find n.
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Step-by-step explanation:
n P 5 =42n P 3( (n−5)!n! )=42( (n−3)!n! )
⇒(n−4)(n−5)=42
⇒n2
−9n−22=0
⇒n=−2;11
As n should be positive and greater than 4
⇒n=11
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