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What is the value of \(\frac{6!}{3!}+4!\)?\(\frac{6!}{3!}+4!\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 144144
Since \(6!=6\times5\times4\times3!\), \(\frac{6!}{3!}=6\times5\times4=120\). Also, \(4!=4\times3\times2\times1=24\). Therefore, \(\frac{6!}{3!}+4!=120+24=144\). Option 120 is only the quotient and does not include \(4!\). Exam tip: In factorial fractions, cancel the common factorial part first.\(6!=6\times5\times4\times3!\), इसलिए \(\frac{6!}{3!}=6\times5\times4=120\)। साथ ही, \(4!=4\times3\times2\times1=24\)। अतः \(\frac{6!}{3!}+4!=120+24=144\)। विकल्प 120 केवल भागफल है; इसमें \(4!\) जोड़ना शेष है। परीक्षा टिप: फैक्टोरियल के भिन्न में समान \(n!\) पदों को काटकर पहले सरल करें।
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