2, 5, 6, 7 మరియు 8 అంకెలతో ఎన్ని నాలుగు అంకెల సంఖ్యలు ఏర్పడతాయి? (పునరావృతమైన అంకెలు అనుమతించబడవు)

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DFCCIL Executive Operating 2016 Official Paper
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  1. 120
  2. 115
  3. 110
  4. 113

Answer (Detailed Solution Below)

Option 1 : 120
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Detailed Solution

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ఇవ్వబడింది:

5 సంఖ్యలకు 2, 5, 6, 7 మరియు 8 ఇవ్వబడ్డాయి

పునరావృతం లేకుండా నాలుగు అంకెల సంఖ్య

ఉపయోగించిన సూత్రం:

పునరావృతం కానపుడు ప్రస్తారం = \(\frac{n!}{(n \ - \ r)!}\)

ఇక్కడ n = మొత్తం సాధ్యమయ్యే సంఖ్యలు

r = అవసరమైన సంఖ్య

గణన:

ఇక్కడ మొత్తం సాధ్యం అయ్యే సంఖ్య n = 5

మరియు అవసరమైన సంఖ్య r = 4

సూత్రాన్ని వర్తింపచేయగా

\(\frac{5!}{(5\ - \ 4)!}\)

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1 = 120

∴ 120 సాధ్యమయ్యే నాలుగు అంకెల సంఖ్య ఉంటుంది.

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