Permutations & Combinations

A student is classifying the following contexts that require either the use of There are 6 different textbooks on a shelf. The number of ways the books can be permutations or the use of combinations. arranged if the Calculus, Algebra, and Geometry texts must remain together, in any Context A: The number of distinguishable ways of arranging 6 students in a order, is row of 8 desks Record your answer in the numerical-response section below.) Context B: The number of ways of selecting a graduation committee of 3 Your answer: students from 9 student volunteers. Context C: The number of different license plates consisting of 4 letters and 3 numbers, if repetitions are allowed Context D: From 100 raffle tickets, the number of ways of choosing 3 different tickets to each win a trip to the Bahamas. Alex is planning a trip from Edmonton to Los Angeles. There are the following choices: . 2 flights direct from Edmonton to Los Angles 31. For each context, use a 1 to indicate it should be solved using a permutation, and 3 flights from Edmonton to Calgary and then 5 flights from Calgary to Los use a 2 to indicate it should be solved using a combination. Angeles. Context A would be solved using a (record in first column) Context B would be solved using a (record in second column) Context C would be solved using a (record in third column) 36. The number of different flight options that Alex could take to get from Edmonton to Context D would be solved using a (record in fourth column) Los Angeles is (Record your answer in the numerical-response section below.) Your answer: Your answer: 37. The number of 3-letter arrangements that can be made from the word BAKER is (Record your answer in the numerical-response section below.) Your answer: Determine the number of ways of arranging the letters of the word DREADED if: 32. Using a standard deck of cards, a student deals a 5 card hand. How many ways can the student deal a hand with at least 3 black cards 38. The arrangements begins with the letter D. (Record your answer in the numerical-response section below.) Your answer: 0 0 0 Record your answer in the numerical-response section below.) Your answer: 83. How many people are there in a class which has 45 ways to select a committee of two people? 39. The arrangement begins with exactly one D (Record your answer in the numerical-response section below.) (Record your answer in the numerical-response section below.) Your answer: DOO Your answer: 40. The arrangement does not have all the D's together. 34. How many different ways are there to arrange all the letter in the word (Record your answer in the numerical-response section below.) NANNURALUK, an Inuit word for polar bear, if the arrangement must start with exactly two N's. Your answer: (Record your answer in the numerical-response section below.) Your