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Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).

Further Mathematics
WAEC 2009

Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).

  • A. 120
  • B. 80
  • C. 60
  • D. 15
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Correct Answer: Option C
Explanation

\((2 + x)^{6} \)

\(x^{4} = ^{6}C_{2}(2^{2})(x^{4}) = 15 \times 4 = 60\)


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