JEE Advanced Mathematics question

The sum of all the numbers of four different digits that can be made by using the digits 0, 1, 2 and 3 is

(A)26664
(B)39996
(C)38664Correct
(D)none of these

Answer: (C)

Solution

There are such numbers. Add place by place.

- **Units place:** with 0 there: numbers. With 1 (or 2, or 3) there: the other 3 digits fill the first three places with 0 not first, so numbers each. Sum of units digits . -

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Question ID VK-108170