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If (r!=24), what will be the value of ((r+1)!)?यदि (r!=24) हो, तो ((r+1)!) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 120120
The intended meaning of the given expression is \(r! = 24\). Since \(4! = 4 \times 3 \times 2 \times 1 = 24\), we get \(r=4\). Therefore, \((r+1)! = 5! = 5 \times 4! = 5 \times 24 = 120\). The value \(720\) is \(6!\), so it is not correct. Exam tip: Use \((n+1)!=(n+1)\,n!\) to solve such questions quickly.यहाँ दिए गए व्यंजक में आशय \(r! = 24\) है। क्योंकि \(4! = 4 \times 3 \times 2 \times 1 = 24\), अतः \(r=4\)। इसलिए \((r+1)! = 5! = 5 \times 4! = 5 \times 24 = 120\)। \(720\), \(6!\) का मान है, इसलिए वह सही नहीं है। परीक्षा टिप: \((n+1)!=(n+1)\,n!\) का उपयोग करके ऐसे प्रश्न जल्दी हल करें।
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