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(a) If .^(22)P(r+1):^(20)P(r+2)=11 : 52,...

(a) If `.^(22)P_(r+1):^(20)P_(r+2)=11 : 52`, find r.
(b) If `.^(56)P_(r+6):^(54)P_(r+3)=30800: 1`, find r.

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