Multiple choice

Given digits 2, 2, 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
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

With digits 2,2,3,3,4,4,4,4, we need 4-digit numbers > 3000. Case 1 (Thousand digit = 3): Hundred digit can be 2,3,4. If hundred=2: tens can be 2,3,4; units accordingly. If hundred=3: tens can be 2,3,4. If hundred=4: tens can be 2,3,4. Case 2 (Thousand digit = 4): Hundred can be 2,3,4 with similar arrangements. Total distinct arrangements = 51.

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