5 digit numbers are formed using the digits 0 1 2 4 5 without repetition What is the percentage of n...........

Mathematics (NDA) Number System

5-digit numbers are formed using the digits 0, 1, 2, 4, 5 without repetition. What is the percentage of numbers which are greater than 50,000?

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2023 NDA -1 Math

20%

25%

75%

100%

- We have five digits: 0, 1, 2, 4, 5.

- All digits must be used exactly once per number.

- The total number of 5-digit numbers possible is 5! = 120.

- To be more than 50,000, the first digit must be 5.

- If 5 is first, the rest (0,1,2,4) can be arranged in 4! = 24 ways.

- So, numbers >50,000 = 24.

- The required percentage = (24/120) × 100% = 20%.

- Option 1 (20%) is correct.

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