योग \( \sum_{r=0}^{4}\binom{6}{r}\binom{8}{4-r} \) का मान क्या है?
What is the value of \( \sum_{r=0}^{4}\binom{6}{r}\binom{8}{4-r} \)?
Explanation opens after your attempt
Correct Answer
C. (1001)
Concept
By Vandermonde's identity, the sum is \( \binom{14}{4}=1001 \). In such sums, view it as total selection after adding upper counts.
Why this answer is correct
The correct answer is C. (1001). By Vandermonde's identity, the sum is \( \binom{14}{4}=1001 \). In such sums, view it as total selection after adding upper counts.
Exam Tip
वैंडरमोंड सर्वसमिका से योग \( \binom{14}{4}=1001 \) है। ऐसे योग में ऊपर की संख्याएँ जोड़कर कुल चयन देखें।
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