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What is the value of \(\frac{4!+3!}{3!}\)?\(\frac{4!+3!}{3!}\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 55
Since \(4!=4\times3!\), \(\frac{4!+3!}{3!}=\frac{4\times3!+3!}{3!}=\frac{5\times3!}{3!}=5\). Option 4 would result if the \(+3!\) term in the numerator were incorrectly ignored. Exam tip: Factor out the common factorial term first to simplify such expressions quickly.क्योंकि \(4!=4\times3!\), इसलिए \(\frac{4!+3!}{3!}=\frac{4\times3!+3!}{3!}=\frac{5\times3!}{3!}=5\)। विकल्प 4 तब मिलता यदि अंश में केवल \(4!\) होता और \(+3!\) को छोड़ दिया जाता। परीक्षा टिप: समान फैक्टरियल पदों को पहले बाहर निकालने पर ऐसे व्यंजक जल्दी सरल होते हैं।
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