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A track race consists of 9 runners. In how many ways can the podium of the top 3 runners be ordered?
Permutation, 504
You are asked to list, in order of preference, the 5 best movies you have seen this year. If you saw 7 movies during the year, calculate how many ways your list can be arranged.
Permutation, 2520
From a standard deck of 52 cards, in how many ways can 7 cards be drawn?
Combination, 133,784,560
Seating 8 students in 8 seats in the front row of the school auditorium.
Permutation, 40,320
From a group of 10 men and 12 women, how many committees of 5 men and 6 women can be formed?
Combination, 232,848
How many hockey teams of 6 players can be formed from 14 players without regard to position played?
Combination, 3,003
Introducing the 5 starting players on the Blue Devil’s basketball team at the beginning of the next basketball game.
Permutation, 120
Checking out 4 library books from a list of 8 books for a research paper.
Combination, 70
Choosing 5 movies to rent if you want at least 2 Westerns. The store has 8 Westerns and 12 Science Fiction films.
Combination, 10,752
Choosing the first, second, and third-place finishers in a race with 10 competitors
Permutation, 720
Electing 4 candidates to a municipal planning board from a field of 7 candidates.
Combination, 35
Choosing 3 side-dishes from a menu that offers 6 vegetable side-dishes and 4 starches if you want at least one of each.
Combination, 96
An arrangement of the letters in the word rhombus.
Permutation, 5,040
Selecting 2 of 8 possible different brands of orange juice at the store.
Combination, 28
Placing a red rose bush, a yellow rose bush, a white rose bush, and a pink rose busy in a row in a planter.
Permutation, 24
Selecting 2 orange tabbies from 9 kittens at an animal rescue shelter.
Combination, 36
