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What is the value of \( \frac{8!}{5!} \div 3! \)?\( \frac{8!}{5!} \div 3! \) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 5656
\(\frac{8!}{5!}=8\times7\times6=336\), since \(5!\) cancels. Now \(3!=6\), so \(336\div6=56\). Option 336 is only the value of \(\frac{8!}{5!}\); it does not include division by \(3!\). Exam tip: expand factorials and cancel common factorial terms first.\(\frac{8!}{5!}=8\times7\times6=336\), क्योंकि \(5!\) कट जाता है। अब \(3!=6\), अतः \(336\div6=56\)। विकल्प 336 केवल \(\frac{8!}{5!}\) का मान है; इसमें \(3!\) से भाग देना शेष है। परीक्षा टिप: फैक्टोरियल को फैलाकर समान फैक्टोरियल पदों को पहले काटें।
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