JEE Mains · Maths · STD 11 - 7. binomial theoram
The value of \(\sum_{ r =0}^{6}\left({ }^{6} C _{ r }{ }^{-6} C _{6- r }\right)\) is equal to :
- A \(1124\)
- B \(1134\)
- C \(1024\)
- D \(924\)
Answer & Solution
Correct Answer
(D) \(924\)
Step-by-step Solution
Detailed explanation
\(\sum_{ r =0}^{6}{ }^{6} C _{ r } \cdot{ }^{6} C _{6- r }\) \(={ }^{6} C _{0} \cdot{ }^{6} C _{6}+{ }^{6} C _{1} \cdot{ }^{6} C _{5}+\ldots \ldots+{ }^{6} C _{6} \cdot{ }^{6} C _{0}\) Now, \((1+x)^{6}(1+x)^{6}\)…
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