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What is the value of ( \sum_{r=0}^{4}\binom{6}{r}\binom{8}{4-r} )?योग ( \sum_{r=0}^{4}\binom{6}{r}\binom{8}{4-r} ) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1001)(1001)
By Vandermonde's identity, the sum is ( \binom{14}{4}=1001 ). In such sums, view it as total selection after adding upper counts.वैंडरमोंड सर्वसमिका से योग ( \binom{14}{4}=1001 ) है। ऐसे योग में ऊपर की संख्याएँ जोड़कर कुल चयन देखें।
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