Question 1 [50 marks] \"LA standard 52 card deck has 13 cards for each suit. Individual cards are ranked, from highest to lowest: A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3 and 2. A full-house pattern contains ve cards, in which three cards of one rank and two cards of another rank. (i) Draw the cards (suits & ranks only) of any one Full-house pattern (5 marks) (ii) With steps and explanations, tell us the number of possible full-house patterns. (1 5 marks) 1(b) Given an undirected & weighted graph G below. Start from vertex A, with Dijkstra '3 Algorithm nd out the list of extracted vertices in order. (25 marks) 1(c) In accordance to the question 1(b), write down the lowest-cost path from A to F. (5 marks)