5. A school has 3 teachers who can teach English, 2 teachers who can teach Japanese, and 4 teachers who can teach both English and Japanese. Now, 3 English teachers and 3 Japanese teachers are to be selected to participate in off-campus tutoring during the holiday. How many ways are there to select them?
5. Let the set of 3 teachers competent in English teaching be set $A$, the set of 2 teachers competent in Japanese teaching be set $B$, and the set of 4 teachers competent in both English and Japanese teaching be set $C$. Classify set $B$: draw 2 teachers to teach Japanese, draw 1 teacher to teach Japanese, and do not draw any teachers from set $B$. The total number is $80+120+16=$ 216 (ways).

