Question
Download Solution PDFयदि 5 अलग-अलग फ्लैग्स उपलब्ध हैं, तो विभिन्न सिग्नलों की संख्या निर्धारित करें जो एक ऊर्ध्वाधर स्टाफ पर न्यूनतम 2 फ्लैग्स को क्रम में (एक के नीचे एक) आयोजित करके बनाए जा सकते हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
उपलब्ध फ्लैग्स = 5
क्रम मायने रखता है
संकल्पना:
n अलग-अलग वस्तुओं में से r वस्तुओं को व्यवस्थित करने के तरीके= \(^n P_r \)
सूत्र:
\(^n P_r \) = \(\frac{n!}{(n-r)!}\)
स्पष्टीकरण:
5 फ्लैग्स में से न्यूनतम दो फ्लैग्स का अर्थ है ' 2 फ्लैग्स या 3 फ्लैग्स या 4 फ्लैग्स या 5 फ्लैग्स '.
∴ तरीके= \(^5 P_2 \) + \(^5P_3 \) + \(^5 P_4\) + \(^5 P_5\)
= (4)(5) + (3)(4)(5) + (2)(3)(4)(5) + (1)(2)(3)(4)(5)
= 20 + 60 + 120 + 120
= 320
Last updated on May 26, 2025
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