Using binomial theorem (without using the formula for $^{n} C_{r}$ ) , prove that $^{n} C_{4} +^{m} C_{2} -^{m} C_{1}^{n} C_{2} =^{m} C_{4} -^{m + n} C_{1}^{m} C_{3} +^{m + n} C_{2}^{m} C_{2} -^{m + n} C_{3}^{m} C_{1} +^{m + n} C_{4} ˙$

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Using binomial theorem (without using the formula for

^{n} C_{r}

) , prove that

^{n} C_{4} +^{m} C_{2} -^{m} C_{1}^{n} C_{2} =^{m} C_{4} -^{m + n} C_{1}^{m} C_{3} +^{m + n} C_{2}^{m} C_{2} -^{m + n} C_{3}^{m} C_{1} +^{m + n} C_{4} ˙

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Question Text

Using binomial theorem (without using the formula for

^{n} C_{r}

) , prove that

^{n} C_{4} +^{m} C_{2} -^{m} C_{1}^{n} C_{2} =^{m} C_{4} -^{m + n} C_{1}^{m} C_{3} +^{m + n} C_{2}^{m} C_{2} -^{m + n} C_{3}^{m} C_{1} +^{m + n} C_{4} ˙

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