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What is the value of \(\frac{7!}{5!}+1!\)?\(\frac{7!}{5!}+1!\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 4343
Since \(7! = 7\times6\times5!\), \(\frac{7!}{5!}=7\times6=42\). Also, \(1!=1\), so \(42+1=43\). Option 42 results from missing the addition of \(1!\). Exam tip: In a factorial quotient, cancel the common factorial term and multiply the remaining factors.\(7! = 7\times6\times5!\) होने से \(\frac{7!}{5!}=7\times6=42\) होता है। साथ ही, \(1!=1\), अतः \(42+1=43\)। विकल्प 42 में \(1!\) जोड़ना छूट गया है। परीक्षा टिप: फैक्टोरियल के भाग में समान फैक्टोरियल पदों को काटकर शेष गुणनफल लिखें।
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