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(i) If ""^(n)P(4): ""^(n)P(5)=1:2, find...

(i) If `""^(n)P_(4): ""^(n)P_(5)=1:2`, find n.
(ii) If `""^(n-1)P_(3): ""^(n+1)P_(3)=5:12`, find n.

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