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What is the value of \(\frac{9!}{7!}\)?\(\frac{9!}{7!}\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 7272
Since \(9!=9\times8\times7!\), \(\frac{9!}{7!}=\frac{9\times8\times7!}{7!}=9\times8=72\). Option C, \(90\), could result from incorrectly using \(9\times10\). In exams, expand a factorial only up to the factorial in the denominator so that it cancels directly.चूँकि \(9!=9\times8\times7!\), इसलिए \(\frac{9!}{7!}=\frac{9\times8\times7!}{7!}=9\times8=72\)। विकल्प C, \(90\), तब मिलता यदि गलती से \(9\times10\) लिया जाता। परीक्षा में फैक्टोरियल को इतना ही फैलाएँ कि हर में दिया गया फैक्टोरियल कट जाए।
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