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.
- 9
- 8
- 7
- 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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