InterviewSolution
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"^(30)C_(0)*^(20)C_(10)+^(31)C_(1)*^(19)C_(10)+^(32)C_(2)*18C_(10)+....^(40)C_(10)*^(10)C_(10) is equal to |
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Answer» `"^(51)C_(41)` `="coefficient of " x^(10) " in" (1-x)^(-11)(1-x)^(-31)` `="coefficient of " x^(10) " in" (1-x)^(-42)` `='^(42+10-1)C_(42-1)=^(51)C_(41)=^(51)C_(10)` |
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