Question
Download Solution PDFयदि अंकों की पुनरावृत्ति की अनुमति नहीं दी जाए तो 1 से 9 तक के अंकों का उपयोग करके बनाई जा सकने वाली चार अंकों की संख्याओं की संख्या ज्ञात कीजिए?
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4 अंकीय संख्याएं जो 1 से 9 तक के अंकों का उपयोग करके बनाई जा सकती हैं। यदि अंकों की पुनरावृत्ति की अनुमति नहीं दी जाए,
प्रयुक्त सूत्र:
nPr = \(\frac{n!}{(n - r)!}\)
गणना:
n = 1 से 9 तक की संख्या = 9
r = 4
आवश्यक 4-अंकीय संख्या = 9P4
⇒ \(\frac{9!}{(9 - 4)!}\)
⇒ \(\frac{9!|}{5!}\)
⇒ \(\frac{ 9 \times 8 \times 7 \times 6 \times 5!}{5!}\)
⇒ 3024
∴ चार अंकों की संख्याओं की संख्या जो बनाई जा सकती है वह 3024 है।
Last updated on May 26, 2025
-> AAI ATC exam date 2025 will be notified soon.
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