M118

For problems 9-12, please write the correct permutation or combination formula that applies the given situation (6 points) and then calculate the number answer (6 points). 9. At the Indianapolis 500 mile race, how many different finishes among the first 4 places are possible if 33 cars are competing in the race? Formula: Number answer: For problems 10-1 1, a standard 52-card deck contains: 26 red cards (13 diamonds and 13 hearts), 26 black cards (13 spades and 13 clubs), 12 face cards and 40 non-face cards. 10. From a standard 52-card deck, how many 4-card hands contain only diamonds? Formula: Number answer: 1 1. From a standard 52-card deck, how many 6-card hands contain 4 clubs and 2 hearts? Formula: Number answer: 12. Quality control. A computer store receives a shipment of 60 color-ink printer cartridges, six of which are actually black-ink cartridges with the wrong label. Three cartridges are selected by the store manager to be used with a demonstration-model printer at an upcoming sales event. How many possible selections will contain no black-ink cartridges