MANAGEMENT शब्द के अक्षरों को कितनी तरह से क्रमबद्ध कर सकते हैं ताकि स्वरों और व्यंजनों की तुलनात्मक स्थिति वैसी ही रहे जैसी MANAGEMENT में है।

This question was previously asked in
UP Police SI (दरोगा) Previous Paper 2 (Held On: 13 Dec 2017 Shift 3)
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  1. 1280
  2. 720
  3. 960
  4. 1080

Answer (Detailed Solution Below)

Option 4 : 1080
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Detailed Solution

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दिया है:

शब्द = MANAGEMENT

गणना:

स्वर 4 स्थानों पर हैं, तो !4

∵ A और E का दोहराव हुआ है, तो !4/(!2 × !2)

व्यंजन 6 स्थानों पर हैं, तो !6

⇒ M और N का दोहराव हुआ है, तो !6/(!2 × !2)

 ∴ \(\frac{{!4}}{{!2\; × \;!2}}\; × \;\frac{{!6}}{{!2\; × \;!2}} = \;\frac{{4\; × 3\; × 2\; × 1}}{{2\; × 1\; × 2\; × 1}}\; × \frac{{6\; × 5\; × 4\; × 3\; × 2\; × 1}}{{2\; × 1\; × 2\; × 1}}\)

= 6 × 180 = 1080

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