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Question: Answered & Verified by Expert
\({ }^{15} \mathrm{C}_3+{ }^{15} \mathrm{C}_5+\ldots \ldots+{ }^{15} \mathrm{C}_{15}=\)
MathematicsBinomial TheoremWBJEEWBJEE 2011
Options:
  • A \(2^{14}\)
  • B \(2^{14}-15\)
  • C \(2^{14}+15\)
  • D \(2^{14}-1\)
Solution:
2457 Upvotes Verified Answer
The correct answer is: \(2^{14}-15\)
Hints: \({ }^{15} \mathrm{C}_3+{ }^{15} \mathrm{C}_5+ \ldots\ldots+{ }^{15} \mathrm{C}_{15}=2^{14}-{ }^{15} \mathrm{C}_1=2^{14}-15\)

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