A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is

Step-by-step solution

Case I - When 0 language course is selected from 5 particular language courses, then total number of ways = C 5 7 = 21 Case II - When 1 language course is selected from 5 particular language courses, then total number of ways = C 4 7 C 1 5 = 175 Case III - When 2 language course is selected from 5 particular language courses, then total number of ways = C 3 7 C 2 5 = 350 So, required ways = 546