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What will be the value of ({}^{7}P_{7})?({}^{7}P_{7}) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 50405040
The permutation formula is \,\({}^{n}P_r=\frac{n!}{(n-r)!}\). Therefore, \,\({}^{7}P_{7}=\frac{7!}{(7-7)!}=\frac{7!}{0!}=7!=5040\), since \,\(0!=1\). Option C, 720, is the value of \,\(6!\), not 7!. Exam tip: when \,\(r=n\), use \,\({}^{n}P_n=n!\) directly.क्रमचय का सूत्र \,\({}^{n}P_r=\frac{n!}{(n-r)!}\) है। अतः \,\({}^{7}P_{7}=\frac{7!}{(7-7)!}=\frac{7!}{0!}=7!=5040\), क्योंकि \,\(0!=1\)। विकल्प C में दिया 720 वास्तव में \,\(6!\) है, 7! नहीं। परीक्षा टिप: जब \,\(r=n\) हो, तो सीधे \,\({}^{n}P_n=n!\) लिखें।
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