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find the value of 50C0 - 50C1 + 50C2 -.........+ 50C50

Putting  a = 1 and b = x ,we get 

 Equating this with our equation we will find that x = 1 

⇒(1 - 1 )50= 0 ans

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50C0-50C1+50C2- 50C3+50C4........+50C50

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Here, 50C0 = 50C50, 50C1 = 50C49, 50C2 = 50C48, Similarily it continues..... and due to the plus and minus... everything wud cancel out except50C0,50C50, and (-50C25), hence, the series wud turn out to be,50C0+50C50-50C25, = 1 + 1 -50C25, = 2 -50C25

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Ans =2 -50C25

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