In the system of "approval voting", each voter may vote

In the system of "approval voting", each voter may vote for as many candidates as she wishes. If there are three candidates, a voter may vote for 1,2, or 3 candidates. The winner is the candidate receiving the most votes (listed on the ballots of the most citizens). Each voter has strict preferences over the candidates (such as preferring candidate 3 to candidate 2 to candidate 1, with no indifference).

A) Show that any action that includes a vote for one's least preferred candidate is weakly dominated.

B) Show that any action that does not include a vote for one's most preferred candidate is weakly dominated.

C) Suppose voter A prefers candidate 1 to 2 to 3 to 4 (where there are 4 candidates). Show that all actions that consist of voting for up to three candidates and not skipping a lower numbered candidate are not weakly dominated (voting for 1 only, voting for 1 and 2, or voting for 1,2, and 3 are not weakly dominated.

Please use payoff matricies to illustrate the answers.