Question
Download Solution PDFअंकांची पुनरावृत्ती करण्याची परवानगी नसल्यास 1 ते 9 पर्यंतच्या अंकांचा वापर करून चार-अंकी संख्या शोधा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
1 ते 9 पर्यंतच्या अंकांचा वापर करून 4 अंकी संख्या तयार केल्या जाऊ शकतात. जर अंकांची पुनरावृत्ती करण्याची परवानगी नसेल तर,
वापरलेले सूत्र:
nPr = \(\frac{n!}{(n - r)!}\)
गणना:
n = 1 ते 9 पर्यंत अंक = 9
r = 4
आवश्यक 4-अंकी संख्या = 9P4
⇒ \(\frac{9!}{(9 - 4)!}\)
⇒ \(\frac{9!|}{5!}\)
⇒ \(\frac{ 9 \times 8 \times 7 \times 6 \times 5!}{5!}\)
⇒ 3024
∴ तयार करता येणारी चार-अंकी संख्या 3024 आहे.
Last updated on May 26, 2025
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