100 C 0 100 C 2 + 100 C 2 100 C 4 + 100 C 4 100 C 6 +.....+. 100 C 98 100 C 100 = 1/2{ 200 C 98 _ . 100 C 49 } Prove it......

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Vikas TU · Answer

Dear student The question is not clear , as you can see in LHS , firstly you have added then multiplied in the last , There misconception occured , Plrase attac a ew image . We will help you Good Luck Cheers

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100 C 0 100 C 2 + 100 C 2 100 C 4 + 100 C 4 100 C 6 +.....+. 100 C 98 100 C 100 = 1/2{ 200 C 98 _ . 100 C 49 } Prove it......

¹⁰⁰C₀¹⁰⁰C₂+ ¹⁰⁰C₂¹⁰⁰C₄ +¹⁰⁰C₄¹⁰⁰C₆ +.....+. ¹⁰⁰C₉₈¹⁰⁰C₁₀₀ = 1/2{²⁰⁰C₉₈ ^_ . ¹⁰⁰C₄₉ }
Prove it......

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100 C 0 100 C 2 + 100 C 2 100 C 4 + 100 C 4 100 C 6 +.....+. 100 C 98 100 C 100 = 1/2{ 200 C 98 _ . 100 C 49 } Prove it......

100C0100C2 + 100C2 100C4 +100C4100C6 +.....+. 100C98100C100 = 1/2{ 200C98 _ . 100C49 }Prove it......

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¹⁰⁰C₀¹⁰⁰C₂+ ¹⁰⁰C₂¹⁰⁰C₄ +¹⁰⁰C₄¹⁰⁰C₆ +.....+. ¹⁰⁰C₉₈¹⁰⁰C₁₀₀ = 1/2{²⁰⁰C₉₈ ^_ . ¹⁰⁰C₄₉ }
Prove it......