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What is the value of (8!-7!)?(8!-7!) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 3528035280
Since \(8!=8\times7!\), \(8!-7!=8\times7!-7!=7!(8-1)=7\times7!\). As \(7!=5040\), the value is \(7\times5040=35280\). \(40320\) is only the value of \(8!\); it does not account for subtracting \(7!\). Exam tip: For consecutive factorials, factor out the smaller factorial first.क्योंकि \(8!=8\times7!\), इसलिए \(8!-7!=8\times7!-7!=7!(8-1)=7\times7!\)। अब \(7!=5040\), अतः मान \(7\times5040=35280\) है। \(40320\) केवल \(8!\) का मान है, उसमें से \(7!\) घटाया नहीं गया है। परीक्षा टिप: लगातार फैक्टोरियल वाले व्यंजकों में छोटे फैक्टोरियल को उभयनिष्ठ गुणनखंड के रूप में लें।
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