Exams › GATE › General Aptitude

Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?

1. 50
2. 51
3. 52
4. 54

Correct answer: 51

Solution

Using digits with at most two 2s, three 3s, four 4s and requiring the number to exceed 3000, exhaustive enumeration gives 51 distinct four-digit numbers. The stored 54 is wrong; the correct option is 1 (51).

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