Examples on Permutations and Combinations                                             Mathematics 4                       ...
Example      A stalker classmate observed that her crush’s smartphone has      fingerprint smudges corresponding to the num...
Example      How many 7 digit numerical palindromes are there? (Example:      34543)Mathematics 4Examples on Permutations ...
Example      Given the grid below, how many paths from A to B are possible if      moves are restricted to the right or up...
Example      How many ways can a player select six numbers in the Lotto 6/42      game?Mathematics 4Examples on Permutatio...
Example      How many different triangles can be formed by connecting any 3      points in the vertices of a regular octago...
Example      How many different triangles can be formed by connecting any 3      points in the vertices of a regular octago...
Example      How many ways can a student answer 10 questions correctly in a      15 item quiz?Mathematics 4Examples on Per...
Example      If each test item in the quiz above is a multiple choice question      with 4 choices each, how many ways can...
Example      If each test item in the quiz above is a multiple choice question      with 4 choices each, how many ways can...
Example      A customer in a fast food restaurant can choose any combination      out of 7 condiments on a hamburger. How ...
Example      The winner of the seven-game NBA championship series is the      team that wins four games. In how many differ...
Example      A full house is a hand that consists of three cards of one      denomination and two cards of another denomin...
Example      How many ways can we buy 12 donuts out of an unlimited supply      of 5 flavors?Mathematics 4Examples on Permu...
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Permutations and combinations examples

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Permutations and combinations examples

  1. 1. Examples on Permutations and Combinations Mathematics 4 February 23, 2012Mathematics 4Examples on Permutations and Combinations
  2. 2. 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
  3. 3. Example How many 7 digit numerical palindromes are there? (Example: 34543)Mathematics 4Examples on Permutations and Combinations
  4. 4. 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
  5. 5. Example How many ways can a player select six numbers in the Lotto 6/42 game?Mathematics 4Examples on Permutations and Combinations
  6. 6. 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
  7. 7. 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
  8. 8. Example How many ways can a student answer 10 questions correctly in a 15 item quiz?Mathematics 4Examples on Permutations and Combinations
  9. 9. 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
  10. 10. 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
  11. 11. 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
  12. 12. 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
  13. 13. 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
  14. 14. 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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