Decimals Above a Fraction

Difficulty: Hard · Topics: Discrete Mathematics, Counting Principle, Decimals

K=\1,4,8\

Decimal numbers of the form overlineABC,overlineDE (that is, overlineABC.overlineDE) are written with digits from K, so that the digits of the whole-number part overlineABC are all different (the decimal digits may repeat).

How many of them are greater than 3722/25?