The Weekly Challenge

You are given a given a string number and a character digit. Write a script to remove exactly one occurrence of the given character digit from the given string number, resulting the decimal form is maximised.

You are given a positive integer $number and a mode flag $mode. If the mode flag is zero, calculate little omega (the count of all distinct prime factors of that number). If it is one, calculate big omega (the count of all prime factors including duplicates).