In an election 3 person are to be selected from 6 candidates. A voter can cast any number of votes but not more than the candidates to be elected. In how many ways can he cast his vote

(Q). In an election 3 person are to be selected from 6 candidates. A voter can cast any number of votes but not more than the candidates to be elected. In how many ways can he cast his vote?
Solution:-
A voter can vote for either 1 or 2 or 3 contestants.
Hence required number of ways is 
= ⁶C₁ + ⁶C₂ + ⁶C₃
= 6 + 15 + 20
= 41 ways             Answer