The name Kung Fu San Soo in Chinese / Japanese...

蔡李何佛雄 is the five families associated with San Soo Kung Fu.

The characters are always the same, but there are several ways these are romanized from Cantonese, Mandarin, and other dialects. Some common ones include Tsoi Li Hoi Fut Hung and Choi Li Ho Fut Hung.

If you are using a different romanization, that does not mean it's wrong. It might just be that your school is using a different dialect or romanization scheme.

功夫散手 is a martial arts title.

Oddly, there are multiple ways two spell/romanize this in English, but in Chinese, it's written exactly the same.

Technically, the Mandarin romanizes as “gong fu san shou,” for which you'll sometimes see it written “kung fu san shou” (k'ung is an old romanization for a word that sounds like gong with a vowel sound like “oh”).

There is another martial arts style that spells this “Kung Fu San Soo.” I guess this was supposed to approximate Cantonese pronunciation for which the scholarly romanization is generally agreed to be “gung fu saan sau.”

散手功夫 is San Soo Kung Fu.

Sometimes you will see this in the order 功夫散手 (Kung Fu San Soo). Either version is OK.

It's like “Kung Fu of San Soo” vs. “San Soo Kung Fu” if you put it in English terms. San Soo is the adjective either way in Chinese.