In this task, you need to provide the correct option for a given problem from the provided options.

Problem: all numbers from 1 to 200 ( in decimal system ) are written in base 6 and base 7 systems . how many of the numbers will have a non - zero units digit in both base 6 and base 7 notations ? 
Options: ['a ) 143', 'b ) 200', 'c ) 157', 'd ) 122', 'e ) 132']
a