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WorksheetsHW 13.2 - Permutations & Combinations
Total questions: 20
Worksheet time: 2hrs 0mins
How would you solve?
The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?
Permutation
Combination
Factorial
Counting Principles
How would you solve?
How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?
Permutation
Combination
Factorial
Counting Principles
How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?
Permutation
Combination
How many ways can 13 students line up for lunch?
Permutation
Combination
How many ways can you make a 3-letter arrangements out of the letters in the word
TRAPEZOID.
Permutation
Combination
How many ways can you choose 2 books from a
shelf of 40 books?
Permutation
Combination
How many ways can 12 swimmers finish in first,
second, and third place?
Permutation
Combination
How many ways can Mrs. Sullivan choose two
students from 27 to help put away calculators at
the end of class?
Permutation
Combination
Robin has five different pairs of shoes that match with 6 different pairs of socks. How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?
11
30
120
720
Rhea has 10 basketballs, each of a different colour. She only has time to shoot 5 hoops before going to bed. How many different arrangements can the balls be thrown into the hoops?
252
120
30,240
3,628,800
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
12
60
15
125
Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9? No digits repeat.
90
729
1000
720
How many ways can you arrange 7 books on a shelf?
7
49
343
5,040
How many identification codes are possible using 4 letters if no letter may be repeated?
15,600
358,800
7,893,600
26
Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?
120
6
18
20
Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?
210
5.040
6
35
