Question 5. Counting (5 marks) Contract bridge is a 4-player card game played with a standard deck of52 cards. All cards are evenly distributed to the players, so each player has 13 cards in their hand. It is often useful to count the High Card Points (HCP) in one's hand at the start of the game. This is done by summing up the HCP of all the cards in one's hand. An Ace has 4 HCP, a King has 3 HCP, a Queen has 2 HCP and a Jack has 1 HCP, and all other cards have 0 HCP. Dueet is playing contract bridge with 3 other friends. How many ways are possible for her hand to have: (a) 1 HCP? [1 mark] (b) 2 HCP? [2 marks] (c) 2 or fewer HCP? [2 marks] You are to show your working. Your final answers must be single numbers