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What is the value of \(\frac{9!}{7!}\div\frac{6!}{5!}\)?\(\frac{9!}{7!}\div\frac{6!}{5!}\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1212
\(\frac{9!}{7!}=\frac{9\times8\times7!}{7!}=9\times8=72\), and \(\frac{6!}{5!}=6\). Therefore, the given value is \(72\div6=12\). A value such as \(18\) can result from cancelling factorial factors incorrectly. Exam tip: In factorial fractions, cancel the common factorial part first and then multiply the remaining factors.\(\frac{9!}{7!}=\frac{9\times8\times7!}{7!}=9\times8=72\) तथा \(\frac{6!}{5!}=6\) है। अतः दिया गया मान \(72\div6=12\) होगा। \(18\) तब मिल सकता है जब भाज्य या भाजक में गुणनखंडों को गलत ढंग से रद्द किया जाए। परीक्षा टिप: फैक्टोरियल के भिन्नों में समान फैक्टोरियल पदों को पहले रद्द करके शेष गुणनखंड लिखें।
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