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(i) If ""^(n)P(5)=20xx""^(n)P(3), find...

(i) If ` ""^(n)P_(5)=20xx""^(n)P_(3)`, find n.
(ii) If `16xx""^(n)P_(3)=13xx""^(n+1)P_(3)`, find n.
(iii) If `""^(2n)P_(3)=100xx""^(n)P_(2)`, find n.

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