**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.

__Bonus Question__:

What is the answer to the original question, if

**M**hectares is equal to

**N**United States survey acres?

__Notes__:

(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.