Section 8.1 When Does Order Matter? (P) – Permutation – order matters (PR) – Permutation w/Restriction – order matters but a restriction exists (C) – Combination – order does not matter (CR) – Combination – order does not matter but a restriction exists

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) Six players are assigned to six positions on the baseball team, assuming that any player can play any position.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of three-course meals if a restaurant offers a choice of 4 salads, 9 main courses, and 3 desserts. .

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to arrange 10 books into 4 slots on a bookshelf.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of 3-piece outfits that can be put together from 4 skirts, 8 blouses, and 2 jackets.  

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of arrangements which can be made using five charms on a bracelet.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to get from Frankfort to Joliet if there are 4 roads leading from Frankfort to Mokena, 10 roads leading from Mokena to New Lenox, and 5 roads leading from New Lenox to Joliet.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to arrange a baseball team’s batting order (9 total players) if the captain is assigned to the 4th batting spot.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of course selections if a student must choose 1 of 5 science electives 1 of 6 social studies electives, and 1 of 4 language electives.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of 3-letter codes which can be formed using the letters A, B, C, D, and E if no letter can be used more than once. .

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways five cards consisting of an ace, a king, a queen, a jack, and a 10, can be divided into two piles, one containing two cards and the other 3 cards.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of 2-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 if no digit can be used more than once.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to draw four black balls from a bag containing 6 black balls, 7 white balls, and 8 green balls.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of committees consisting of 3 boys and 2 girls selected from a class of 13 boys and 10 girls.  

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of sets of officers if there are nine members and any member can be elected to president, vice-president, and secretary-treasurer, assuming no person can hold more than one office.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of different hamburgers which can be concocted using any five of the following: cheese, relish, lettuce, tomato, onion, mustard or ketchup.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of automobile license plate numbers consisting of two letters followed by a four-digit number if the letter O and the number 0 are not allowed, and if the letter I and the number 1 are not allowed.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of different 3-card combinations if a stack of 10 cards are shuffled and three are drawn.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways four couples can sit in the same row for a concert if there are eight seats in the row.  

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of at-large senators which can be elected in an election where 6 seniors, 2 juniors, and 3 sophomores are running for office.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to select four books from a group of nine books..

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of numbers containing not more than three digits formed from the digits 1, 2, 3. .

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of different signals that can be made with four flags of different colors displayed singly or any number one above the other.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to choose 10 questions from a 13 question exam if two or three must be chosen from the first three questions.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to draw a sum of money from a bag containing a dollar, a half dollar, a quarter, a dime, a nickel, and a penny.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to arrange the letters in the word MATH..

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of 3 digit numbers which can be formed from the digits 1, 2, 3, 4, 6, 7, 9.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of even three digit numbers which can be formed from the digits, 3, 4, 5, 6, 8, 9.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways a man can distribute a ball, a bat, and a mitt to five boys.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to arrange the letters in the word DECIMAL.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to arrange the letters in the word DECIMAL if each arrangement must begin and end with a consonant.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of debating teams of three to be chosen from seven candidates.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways six people can sit in a six-passenger car.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways a committee of 3 can be chosen from 8 persons so that one particular person is always included.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) Given nine points on the circumference of a circle, the number of triangles that can be formed by using any three of these points as vertices. .

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways five people can line up for a photograph.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways a card hand consisting of 5 spades, 6 hearts, and 2 other cards

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to create a group of 5 groups from 9 different books including just 2 books of poetry, if each group is to involve just one book of poetry.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways a president, vice-president, secretary, and treasurer can be elected from a pool of 12 candidates.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways 6 presents can be distributed among 4 children.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of 7 digits numbers that can be created using 1, 2, 3, 4, 5, 6, 7, 8, 9 in which the odd and even digits alternate. .

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of card hands that consist of 5 hearts and 8 spades..

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways to arrange the letters in the word DEGREE.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways two numbers whose sum is even chosen from the numbers 1, 2, 3, 8, 9, 10.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of ways the starting lineup (of 5) can be announced from a team of 12 players.

For each scenario below, identify it as a permutation (P), permutation w/restriction (PR), combination (C), or combination w/restriction (CR) The number of three digit numbers which have exactly one zero.