Permutations and Combinations Questions and Answers

Suppose 13 people qualify for a college cheerleading squad five women and eight men How many six member squads can be selected if exactly two of the members are male Select one O a 715 b 140 OG 1417 d 33

Shelby does a probability experiment She spins this spinner and then filps a coin Green Yellow Purple Red Which list shows all the possible outcomes OA Green Heads Blue Heads Purple Heads Red Heads Yellow Heads OB Green Heads Blue Heads Purple Heads Red Heads Green Tails Blue Talls Purple Talls Red Talls OC Green Talls Blue Talls Purple Talls Red Talls Yellow Tails OD Green Head Blue Heads Purple Heac Red Heads Yellow Head Green Talls Blue Tails Purple Talls Red Talls Yellow Tails

The owner of Brookstone coffee has 13 regular full time employees 7 are female and 6 are male As he plans the schedule he likes to ensure exactly two employees on any given shift are male If 5 work a shift how many combinations can be created

For her show Outfront Alicia can air 2 segments If she has 14 segments to select from in how many ways can she arrange the segments for her show 91 X

Ms Bell s mathematics class consists of 13 sophomores 6 juniors and 11 seniors How many different ways can Ms Bell create a 5 member committee of seniors if each senior has an equal chance of being selected

A corporation must appoint a president chief executive officer CEO chief operating officer COO and chief financial officer CFO It must also appoint a plan committee with three different members There are 14 qualified candidates and officers can also serve on the committee Complete parts a through c below a How many different ways can the officers be appointed There are 24024 different ways to appoint the officers b How many different ways can the committee be appointed different ways to appoint the committee There are

Select the correct answer from each drop down menu Determine whether each situation describes a permutation or a combination Situation The Junior class elects 3 representatives to the student council The swim team must choose a captain and co captain A sandwich made with 3 of the 25 available toppings A locker has a 5 digit code that must be entered to open it Permutation or Combination

Select the correct answer from each drop down menu Determine whether each situation describes a permutation or a combination Situation The Junior class elects 3 representatives to the student council The swim team must choose a captain and co captain A sandwich made with 3 of the 25 available toppings A locker has a 5 digit code that must be entered to open it Permutation or Combination

B Guests at a wedding have an appetizer choice of soup or a salad an entr e choice of chicken steak or vegetarian then a dessert choice of vanilla or chocolate cake How many different meals are possible

There are 30 students in a high school senior class. In how many ways could the yearbook choose the winners of Most Athletic, Class Clown, and Best School Spirit?

Customer account "numbers" for a certain company consists of 4 letters followed by 3 single-digit numbers. How many different account numbers are possible if repetitions of letters and digits are allowed?

In a high school basketball team there are 12 students competing to start a game. If 5 students can be chosen to start a game, how many different starting lineups can be formed from this group of 12 students? 3,991,680 95,040 120 792

Please show all the work that you go through in order to complete the problems. 1. As part of an exercise in an elementary school reading class, the students are given 6 cards that each contain a picture and part of a story. The students are asked to put the cards into an order that tells a coherent story. If a student didn't understand the assignment and had no idea what the intended order was, how many different possible ways could that student choose to place the cards down in order?

For a certain website, your password must be 10 digits long. If the first 8 digits are any numbers and the last 2 digits are any lower case letters, how many passwords are possible? 67,600,000,000 5,200,000,000 67,600 4,160

There were 24 students running in a race. How many different arrangements of first, second, and third place are possible?

How many different license plates can the State of lowa produce if the requirements are as follows: 5 slots The first two slots are for letters. The next three slots are for digits from 0 - 9. 1, 240,000 676,000 82 1,757, 600