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What is the value of \(\frac{8!}{5!}\)?\(\frac{8!}{5!}\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 336336
Since \(8!=8\times7\times6\times5!\), \(\frac{8!}{5!}=8\times7\times6=336\). The value 120 is \(5!\), but \(5!\) cancels in this expression. Exam tip: In a factorial fraction, expand the larger factorial only up to the smaller factorial and cancel common terms.क्योंकि \(8!=8\times7\times6\times5!\), इसलिए \(\frac{8!}{5!}=8\times7\times6=336\)। विकल्प 120, \(5!\) का मान है, जबकि यहाँ \(5!\) कट जाता है। परीक्षा टिप: फैक्टोरियल के भिन्न में बड़े फैक्टोरियल को छोटे फैक्टोरियल तक फैलाकर समान पदों को काटें।
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