चार कुर्सियों में 10 व्यक्तियों को कितने प्रकार से बैठाया जा सकता है?

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Rajasthan Gram Vikas Adhikari (VDO) 27 Dec 2021 Shift 2 Official Paper
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  1. 4050
  2. 5040
  3. 5020
  4. 6000

Answer (Detailed Solution Below)

Option 2 : 5040
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दिया गया है:

चार कुर्सियों में 10 व्यक्तियों को बैठाने के तरीकों की संख्या

प्रयुक्त सूत्र:

nPr = n!/(n – r)!

जहाँ, n = व्यक्तियों की संख्या

r = कुर्सियों की संख्या

गणना:

प्रश्न के अनुसार

nPr = n!/(n – r)!

⇒ 10!/(10 – 4)!

⇒ 10!/6!

⇒ (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/(6 × 5 × 4 × 3 × 2 × 1)

⇒ (10 × 9 × 8 × 7)

⇒ 5040

∴ अभीष्ट मान 5040 है। 

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