Question

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

Answer 1

The correct answer is 546.
For at most two language courses
=$^5C_2​×^7C_3​+^5C_1​×^7C_4​+^7C_5$
=546