use LIKE with %-wildcard between the single characters:
SELECT * FROM table WHERE column LIKE '%M%F%';
note that this will only work if the characters are in correct order - searching for FM instead of MF won't give you any result.
you'll also need to find a way to insert the %s to your search-term, but taht shouldn't be a big problem (sadly you havn't said wich programming-language you're using).
if the characters can be in random order, you'll have to built a query like:
SELECT * FROM table WHERE
column LIKE '%M%'
AND
column LIKE '%F%'
[more ANDs per character];