ऐसी कितनी चार अंक वाली धनपूर्ण संख्याएं हैं, जिनके सभी अंक विषम हैं?

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NDA 02/2022 Mathematics Official Paper (Held On 04 Sep 2022)
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  1. 625
  2. 400
  3. 196
  4. 120

Answer (Detailed Solution Below)

Option 1 : 625
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गणना:

विषम अंक - 1, 3, 5, 7, 9

एक चार अंकों की संख्या जिसमें सभी अंक विषम हैं, पहले स्थान पर 5 विकल्प हैं, और चूंकि अंकों को दोहराया जा सकता है, दूसरे, तीसरे और चौथे स्थान के लिए भी 5 विकल्प हैं।

तो, चार अंकों वाली प्राकृत संख्याओं की संख्या इस प्रकार है कि सभी अंक विषम हैं  = 5 × 5 × 5 × 5 = 625

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