How many positive integers with distinct digits have the product of their digits equal to 28?

Correct answer marked below

A

4

B

6

C

7

8

Correct

E

12

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Explanation

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Official Explanation

Official

28 =

4 \times 7

or

1 \times 4 \times 7

Numbers made up of digits 4, 7 =

2! = 2

. {47 and 74}…

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What this question tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.

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