JEE Mains · Maths · STD 11 - 7. binomial theoram
The value of \(-{ }^{15} C _{1}+2 .{ }^{15} C _{2}-3 .{ }^{15} C _{3}+\ldots \ldots\) \(-15 .{ }^{15} C _{15}+{ }^{14} C _{1}+{ }^{14} C _{3}+{ }^{14} C _{5}+\ldots .+{ }^{14} C _{11}\) is
- A \(2^{16}-1\)
- B \(2^{13}-14\)
- C \(2^{14}\)
- D \(2^{13}-13\)
Answer & Solution
Correct Answer
(B) \(2^{13}-14\)
Step-by-step Solution
Detailed explanation
\(\left(-{ }^{15} C _{1}+2 .{ }^{15} C _{2}-3 .{ }^{15} C _{3}+\ldots \ldots-15 .{ }^{15} C _{15}\right)\) \(+\left({ }^{14} C _{1}+{ }^{14} C _{3}+\ldots .+{ }^{14} C _{11}\right)\)…
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