Counting "Plans" Formula

Try this, but you will need to change all the semi colons to commas.  

var text value = [Plans];

Count(
Trim(Part($value,1,";"))<>"",
Trim(Part($value,2,";"))<>"",
Trim(Part($value,3,";"))<>"",
Trim(Part($value,4,";"))<>"",
Trim(Part($value,5,";"))<>"",
Trim(Part($value,6,";"))<>"",
Trim(Part($value,7,";"))<>"",
Trim(Part($value,8,";"))<>"",
Trim(Part($value,9,";"))<>"",
Trim(Part($value,10,";"))<>"",
Trim(Part($value,11,";"))<>"",
Trim(Part($value,12,";"))<>"",
Trim(Part($value,13,";"))<>"",
Trim(Part($value,14,";"))<>"",
Trim(Part($value,15,";"))<>"",
Trim(Part($value,16,";"))<>"",
Trim(Part($value,17,";"))<>"",
Trim(Part($value,18,";"))<>"",
Trim(Part($value,19,";"))<>"",
Trim(Part($value,20,";"))<>"",
Trim(Part($value,21,";"))<>"",
Trim(Part($value,22,";"))<>"",
Trim(Part($value,23,";"))<>"",
Trim(Part($value,24,";"))<>"",
Trim(Part($value,25,";"))<>"")