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In how many ways can 30 marks be allotted to 8 questionif each question carries at least 2 marks? |
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Answer» Correct Answer - `.^(21)C_(14)` Required number `="coeff. Of" p^(30) " in" (p^(2)+p^(3)+..+ p^(16))^(8)` `= "coeff.of" p^(30) "in" p(16)(1+p+..+ p^(14))^(8)` `="coeff.of" p^(14) " in" ((1-p^(15))/(1-p))^(8)` `="coeff.of" p^(14) " in" (1-p)^(-8)` `=.^(21)C_(14)` |
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