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What is the ratio of (6!) to (4!)?(6!) और (4!) का अनुपात क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 30:130:1
Since \(6!=6\times5\times4!\), \(\frac{6!}{4!}=6\times5=30\). Therefore, the ratio is \(30:1\). The ratio \(20:1\) would result from incorrectly using only \(5\times4\). In exams, expand the larger factorial up to the smaller factorial and cancel the common part.\(6!=6\times5\times4!\) है। अतः \(\frac{6!}{4!}=6\times5=30\), इसलिए अनुपात \(30:1\) है। \(20:1\) तब मिलता यदि केवल \(5\times4\) लिया जाता, जो यहाँ सही नहीं है। परीक्षा में बड़े क्रमगुणित को छोटे क्रमगुणित के गुणन के रूप में लिखकर समान पद काटें।
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