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Examples on Permutations and Combinations Mathematics 4 February 23, 2012Mathematics 4Examples on Permutations and Combinations
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Example A stalker classmate observed that her crush’s smartphone has ﬁngerprint smudges corresponding to the numbers 2,4,7, and 9 on the passcode entry screen. She correctly ﬁgures out that her crush’s passcode must be using those four digits. What is the largest possible number of trials that she needs to take to access the contents of the smartphone?Mathematics 4Examples on Permutations and Combinations
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Example How many 7 digit numerical palindromes are there? (Example: 34543)Mathematics 4Examples on Permutations and Combinations
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Example Given the grid below, how many paths from A to B are possible if moves are restricted to the right or up?Mathematics 4Examples on Permutations and Combinations
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Example How many ways can a player select six numbers in the Lotto 6/42 game?Mathematics 4Examples on Permutations and Combinations
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Example How many diﬀerent triangles can be formed by connecting any 3 points in the vertices of a regular octagon?Mathematics 4Examples on Permutations and Combinations
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Example How many diﬀerent triangles can be formed by connecting any 3 points in the vertices of a regular octagon?Mathematics 4Examples on Permutations and Combinations
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Example How many ways can a student answer 10 questions correctly in a 15 item quiz?Mathematics 4Examples on Permutations and Combinations
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Example If each test item in the quiz above is a multiple choice question with 4 choices each, how many ways can a student answer the exam?Mathematics 4Examples on Permutations and Combinations
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Example If each test item in the quiz above is a multiple choice question with 4 choices each, how many ways can a student make 5 mistakes in the exam?Mathematics 4Examples on Permutations and Combinations
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Example A customer in a fast food restaurant can choose any combination out of 7 condiments on a hamburger. How many burger sandwich combinations can the customer make?Mathematics 4Examples on Permutations and Combinations
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Example The winner of the seven-game NBA championship series is the team that wins four games. In how many diﬀerent ways can the series ﬁnish in seven games?Mathematics 4Examples on Permutations and Combinations
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Example A full house is a hand that consists of three cards of one denomination and two cards of another denomination. How many 5-card hands are full houses?Mathematics 4Examples on Permutations and Combinations
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Example How many ways can we buy 12 donuts out of an unlimited supply of 5 ﬂavors?Mathematics 4Examples on Permutations and Combinations
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