योग \(\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r}\) का मान क्या है?
What is the value of \(\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r}\)?
Explanation opens after your attempt
B. (495)
Concept
By Vandermonde's identity, the sum equals \(^{12}C_{4}\). Hence the value is (495).
Why this answer is correct
The correct answer is B. (495). By Vandermonde's identity, the sum equals \(^{12}C_{4}\). Hence the value is (495).
Exam Tip
वैंडरमोंड पहचान से यह योग \(^{12}C_{4}\) के बराबर है। इसलिए मान (495) है।
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