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What will be the value of \(\frac{5!}{3!}\)?\(\frac{5!}{3!}\) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2020
Since \(5!=5\times4\times3!\), \(\frac{5!}{3!}=\frac{5\times4\times3!}{3!}=5\times4=20\). Therefore, option C is correct. Option D is the value of \(5!\), but the expression also requires division by \(3!\). Exam tip: In factorial fractions, expand the larger factorial up to the smaller factorial and cancel the common factorial.क्योंकि \(5!=5\times4\times3!\), इसलिए \(\frac{5!}{3!}=\frac{5\times4\times3!}{3!}=5\times4=20\)। अतः सही विकल्प C है। विकल्प D, \(5!\) का मान है, लेकिन यहाँ \(3!\) से भाग भी दिया गया है। परीक्षा टिप: फैक्टोरियल के भिन्न में छोटे फैक्टोरियल तक पदों को फैलाकर समान फैक्टोरियल को काटें।
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