A boy needs to select five courses from 12 available courses, out...

Case I -

When $0$ language course is selected from $5$ particular language courses, then total number of ways

$= C5 7 = 21$

Case II -

When $1$ language course is selected from $5$ particular language courses, then total number of ways

$= C4 7 C1 5 = 175$

Case III -

When $2$ language course is selected from $5$ particular language courses, then total number of ways

$= C3 7 C2 5 = 350$

So, required ways$= 546$