MDM 4U1 COMBINATIONS 1. In how many ways can a team of six volleyball players be chosen from a roster of eleven individuals? 2. In how many ways can a recycling committee be formed consisting of two teachers and four students if there are five teachers and eleven students available to serve on the committee? 3. In how many ways can 12 distinct objects be separated into three equal piles? 4. a) How many distinct poker hands (5 cards) can be dealt from a deck of 52 cards? b) How many distinct bridge hands (13 cards) can be dealt from a deck of 52 card? 5. Eight different colour pigments are mixed in equal amounts to form every possible combination of colours. How many different colours are possible, mixing any number of pigments?
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1. A basketball team is made up of four guards, five forwards, and three centers. In how many ways can the team's coach form a starting five made up of one center, two guards, and two forwards where the players have equal chances of being selected? 2. Three girls and three boys are competing for the model student award for their grade level. In how many ways can three finalists be chosen from among them? 3. Two cards will be drawn from a deck of 52 cards. In how many ways can the cards be drawn so that: 1) the cards are of the same suit? 2) the cards are both face cards? 4. A bag contains ten balls numbered from 1 to 10. In how many ways can three balls be drawn from the bag? 5. A lottery requires choosing 6 numbers from 1 to 42. In how many ways can a player choose his numbers if he wants to use only even numbers?
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1. In a standard deck of cards, what is the probability that a person selects first a face card and then an ace, if they do not replace the first card? Answers are approximately decimals. 2. A student looks at a set of data that was collected and concludes that if he randomly selects a person, there is only a 2% chance they will have green eyes. He is using what type of probability? 3. How many different ways can seven people sit in a row that has four seats left? 4. How many different ways can you pack five t-shirts for a trip if you have twelve clean shirts from which to choose?
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