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NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

If C 0 , C 1 , C 2 , … . . , C n are binomial coefficients, ( where C r = n C r ) , then the value of C 0 - C 1 + C 2 - C 3 + . . . + - 1 n C n is equal to

Options

  1. A2 n - 1
  2. B2 n
  3. C0
  4. D1

Correct answer

C. 0

Step-by-step solution

1 + x n = C 0 + C 1 x + C 2 x 2 + . . C n x n Put x = - 1 C 0 - C 1 + C 2 - C 3 + . . . + - 1 n C n = 0

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