M is an 8-digit base ten positive integer of the form abcdefgh, where each of the small letters represent a different digit from 1 to 9, and N is a base ten positive real number, such that M hectares is equal to N international acres.
For a value of M drawn at random between 12345678 (base ten) and 98765432 (base ten) inclusively, determine the probability that [N] contains precisely two distinct digits.
What is the answer to the original question, if M hectares is equal to N United States survey acres?
(i) 1 international acre is equal to 0.40468564224 hectare.
(ii) 1 United States survey acre is equal to 0.404687261 hectare.
(iii)[N] denotes the greatest integer ≤ N, and [N] cannot contain any leading zero.