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ची पुनरावृत्ती करण्याची परवानगी नसल्यास 1 ते 9 पर्यंतच्या अंकांचा वापर करून चार-अंकी संख्या शोधा?

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AAI ATC Junior Executive 25 March 2021 Official Paper (Shift 3)
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  1. 1680
  2. 336
  3. 3036
  4. 3024

Answer (Detailed Solution Below)

Option 4 : 3024
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दिलेल्याप्रमाणे​:

1 ते 9 पर्यंतच्या अंकांचा वापर करून 4 अंकी संख्या तयार केल्या जाऊ शकतात. जर अंकांची पुनरावृत्ती करण्याची परवानगी नसेल तर,

वापरलेले सूत्र:

nPr = 

गणना:

n = 1 ते 9 पर्यंत अंक = 9

r = 4 

आवश्यक 4-अंकी संख्या = 9P4

⇒ 

⇒ 

⇒ 

⇒ 3024

∴ तयार करता येणारी चार-अंकी संख्या 3024 आहे.

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