How many numbers with distinct digits are possible product of whose digits is 28?	Choose the correct choice from the following choices: A) 6 B) 4 C) 8 D) 12 E) 14
DETAILED SOLUTION   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.   8orrect Answer: 8
<result>C</result>
How many numbers with distinct digits are possible product of whose digits is 28?