Question

Out of 6 hindu and muslims, a cabinet of 5 ministers is to be formed. in how many ways this can be done if the cabinet to include atleast 3 hindu?

Answer 1

6p3+6p2
6!/(6-3)!+6!/(6-2)!
6×5×4×3!/3!+6×5×4!/4!
6×5×4+6×5
120+30
150