WBJEE · Maths · Binomial Theorem
\({ }^{15} \mathrm{C}_3+{ }^{15} \mathrm{C}_5+\ldots \ldots+{ }^{15} \mathrm{C}_{15}=\)
- A \(2^{14}\)
- B \(2^{14}-15\)
- C \(2^{14}+15\)
- D \(2^{14}-1\)
Answer & Solution
Correct Answer
(B) \(2^{14}-15\)
Step-by-step Solution
Detailed explanation
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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