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What is the value of \(\frac{6!+5!}{5!}\)?\(\frac{6!+5!}{5!}\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 77
Since \(6!=6\times5!\), \(\frac{6!+5!}{5!}=\frac{6\times5!+5!}{5!}=\frac{7\times5!}{5!}=7\). Option 6 would result if the numerator contained only \(6!\); here, \(5!\) is also added. Exam tip: Rather than evaluating factorials separately, factor out the smaller factorial to simplify quickly.क्योंकि \(6!=6\times5!\), इसलिए \(\frac{6!+5!}{5!}=\frac{6\times5!+5!}{5!}=\frac{7\times5!}{5!}=7\)। विकल्प 6 तब मिलता यदि अंश में केवल \(6!\) होता; यहाँ \(5!\) भी जोड़ा गया है। परीक्षा टिप: अलग-अलग फैक्टोरियल का मान निकालने के बजाय छोटे फैक्टोरियल को उभयनिष्ठ गुणनखंड लेकर सरल करें।
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