Question:
How
many numbers with distinct digits are possible product of whose digits is 28?
A. 6
B. 4
C. 8
D. 12
Correct Answer: (C)
Explanation:
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.
Answer Choice (C)
Difficulty Level 2