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Binomial Theorem question

2004 · Shift 0 · Q106
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  5. /2004 · Shift 0 · Q106

Binomial Theorem question

2004 · Shift 0 · Q106

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
The coefficient of xn{x^n}xn in expansion of (1+x)(1−x)n\left( {1 + x} \right){\left( {1 - x} \right)^n}(1+x)(1−x)n is
  1. A
    (−1)n−1n{\left( { - 1} \right)^{n - 1}}n(−1)n−1n
  2. B
    (−1)n(1−n){\left( { - 1} \right)^n}\left( {1 - n} \right)(−1)n(1−n)
  3. C
    (−1)n−1(n−1)2{\left( { - 1} \right)^{n - 1}}{\left( {n - 1} \right)^2}(−1)n−1(n−1)2
  4. D
    (n−1)\left( {n - 1} \right)(n−1)
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