Answer with Ps or Cs

a) Given 10 points on a sheet of paper, where no three points lie on the same line, how many triangles can be drawn that use three of these points as vertices?

b) In a group of 12 people, we select a committee of 5 members. one member of the committee is the chairperson, and another is the secretary. how many different choices for this committee are possible?

c) Michael, Dwight, Jim, and Pam decide to play a game of cards during a slow day in the paper business. In how many different ways can the 52 cards in a deck be dealt to the four players, where each player gets 13 cards? Assume hat the order of the cards in each player's hand does not matter?

d) suppose there are three divisions of six teams each. One team from each division will go to the playoffs, along with one other team that can come from any of the divisions. how many different combinations of teams can go to the playoffs, where the "wild-card" team is counted just like any other team? In other words, in how many ways can we select four teams to go to the playoffs where the order of the teams is irrelevant, but every division sends at least one team?