AIEEE sample practice questions in Permutation in Numbers - Divisibility : AIEEE Math : Fermat Education - AIEEE Classes

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You are here: AIEEE Classes » AIEEE Prep Questions » Math » Permutation Combination » Question 4

Permutation Combination : Numbers : Divisibility

Question 4
Using the digits 2, 3, 4 how many 3-digit numbers can be formed that are divisible by 3? The digits can be repeated.
  1. 9
  2. 8
  3. 7
  4. 10
Correct Answer is 9. Choice (A).

Explanatory Answer

222, 333 and 444 are divisible by 3.

All six arrangements of the digits 2, 3, 4 (234, 243, 324, 342, 423, 432) are also divisible by 3.

There are 9 possible solutions.

Answer is choice A.



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