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Lesson 7 Mathematics of Data Management MDM, Key Questions Save your answers to the Key Questions in your Course Journal or e-Journal. Total: 26 marks 24. A jar contains six red marbles, four green marbles, and five yellow ones. a) Determine the number of ways in which any three marbles can be selected (3 marks) D) Determine the number of ways to select four marbles where two are red and two are yellow. (3 marks) ovic) Determine the number of ways in which six marbles can be selected where two are red, two are green, and two are yellow. (3 marks) Show your calculations. (9 marks total) 25. In a card game using a normal deck of playing cards containing 52 cards, 13 cards are dealt to a player. a) How many different combinations of cards are possible in that player's hand? Leave your answer in factorial form. (2 marks) b) How many different hands are possible that consist of nine spades and four clubs? Leave your answer in factorial form. (4 marks) Show your calculations. (6 marks total) 26. Use the quadratic formula to solve for n in: C(n,2) = 45. Show your calculations. (4 marks) 27. Prove that C(50,3) + C(50,4) = C(51,4). (3 marks)a mob 28. From a group of six women and five men, determine how many ways a committee of four people can be selected with LOW a) two women and two men. b) three women and one man. Show your calculations. (4 marks: 2 marks for each part)