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MUF0092 Mathematics Unit 2-SEM 1-2025

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In how many ways can seven friends be seated in a row at the theatre?
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Amy goes to her friend’s house to borrow two novels, two cookbooks and three travel books. Her friend has ten novels, eight cookbooks and three travel books. In how many ways could Amy choose the books?
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In how many ways can a hand of five cards be dealt from a pack of 52 cards??
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How many different licence plates can be made using two letters followed by three digits, if neither the letters nor the digits can be repeated?
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Chris has a choice of four different buses to the station. Once there, he has a choice of three different trains to the city. When he arrives at the city he can either take the tram to work or walk. How many different choices does he have for travelling to work?
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Of a group of 32 students trying out for the cricket team, seven are left-handed. If there are 11 players in a team, what is the probability that if the team is chosen at random it will have exactly one left-handed player?

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Adrienne releases 20 gold fish and 10 black fish into a pond. If four fish are caught at random, the probability that there are two gold and two black fish is

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There are 12 girls and 8 boys in a class. In how many ways could a committee of two girls and two boys be chosen?
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