How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 3?	Choose the correct answer:
A) 10  B) 11  C) 12  D) 13  E) 14
14   To be divisible by three the sum of the digits must be divisible by 3. Highest number made by these digits is 75 that is divisible. We count down the selections from there and see what is feasible.   75-yes   72 -yes   69 and 66 -no   63 - yes   60 -no   57, 54, and 51 -yes   48 - no   45 and 42 - yes   39 - no   36 - yes   33 and 30 - no   27, 24, and 21 - yes   18 -no   15 and 12 yes   Correct answer is 14.
<result>E</result>
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 3?