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`(.^(50)C_(1))^(2)+2(.^(50)C_(2))^(2)+3(.^(50)C_(3))^(2)+.....+50(.^(50)C_(50))^(2)=`A. `.^(100)C_(50)`B. `50.(.^(100)C_(50))`C. `25(.^(100)C_(50))`D. `(2^(49))/(49!)(1.3.35…..99)` |
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Answer» Correct Answer - C::D `S = 0.(.^(50)C_(50))^(2) + 1.(.^(50)C_(1))^(2) + ….. + 50(.^(50)C_(50))^(2) …..(1)` `S = 50(.^(50)C_(50))^(2) + 49(.^(50)C_(49))^(2) + ……. + U(.^(60)C_(0))^(2) …..(2)` `(1) + (2)` `S = 25[(.^(50)C_(0))^(2) + (.^(50)C_(1))^(2) + ….. + (.^(50)C_(50))]^(2))` `= 25.(.^(100)C_(50))` |
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