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The continued product `2.6.10.4…..`(`n` times) in equal toA. `.^(2n)C_(n)`B. `.^(2n)P_(n)`C. `(n + 1)(n + 2)(n + 3) …….(n + n)`D. `4^(n)` |
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Answer» Correct Answer - B::C `E = 2.6.10.14….` `=2^(n)[1,3,5,7…..]` `= (2^(n)[1,2,3…..2n])/(2.4.6(2n-2)(2n)) = (2^(n).(2n)!)/(2^(n).n!) = .^(2n)P_(n)(B)` Also `(2n!)/(n!) = ((1.2.3…….n)(n+1)(n+2)….2n)/(n!) :.` (C) |
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