How many numbers with distinct digits are possible product of whose digits is…
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How many numbers with distinct digits are possible product of whose digits is 28?
- A.
6
- B.
4
- C.
8
- D.
12
Attempted by 16 students.
Show answer & explanation
Correct answer: C
Two digit numbers; The two digits can be 4 and 7: Two possibilities 47 and 74.
Three-digit numbers: The three digits can be 1, 4 and 7: 3! Or 6 possibilities.
We cannot have three digits as (2, 2, 7) as the digits have to be distinct.
We cannot have numbers with 4 digits or more without repeating the digits.
So, there are totally 8 numbers.
The question is "How many numbers with distinct digits are possible product of whose digits is 28?"
Hence the answer is "8"
Choice C is the correct answer.