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If ((n+1)!=720), what is the value of (n)?यदि ((n+1)!=720), तो (n) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(5\)\(5\)
We know that \(6!=6\times5\times4\times3\times2\times1=720\). Hence, \((n+1)!=6!\), so \(n+1=6\) and \(n=5\). If \(n=6\), then \((n+1)!=7!=5040\), not 720. Exam tip: Memorise small factorial values such as \(5!=120\), \(6!=720\), and \(7!=5040\).ज्ञात है कि \(6!=6\times5\times4\times3\times2\times1=720\)। अतः \((n+1)!=6!\), इसलिए \(n+1=6\) और \(n=5\)। \(n=6\) लेने पर \((n+1)!=7!=5040\) होगा, जो 720 नहीं है। परीक्षा टिप: \(5!=120\), \(6!=720\) और \(7!=5040\) जैसे छोटे फैक्टोरियल मान याद रखें।
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