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Permutation
Combination
Back to the Basics
100

The formula for finding a Permutation

What is nPr= n!/(n-r)!

100
How many different ways can the letters in the word SAILOR be arranged?
What is 720
100
Eight wild shoppers are rushing to grab one of the last three Elmo toys. How many different sets of shoppers could come away with a toy?
What is 56
100
Solve: 3!
What is 6
200

The formula for finding a Combination

What is nCr= n!/r!(n-r)!

200
How many different ways can Connor, Laura, and Jasmine stand in a row?
What is 6
200
Kendall asked the pet store owner for any two baby mice from a cage containing 8. How many possible combinations of mice could be picked?
What is 28
200
Solve: 5!
What is 120
300
Permutation or Combination: How many different ways can 15 different people stand in a row?
What is Permutation
300
In a 5 person race, how many different ways can the runners arrive at the finish line?
What is 120
300
There are 9 different marbles in a jar. How many different sets could you get by randomly picking three of them from the jar?
What is 84
300
Solve: 6!
What is 720
400
Permutation or Combination: There are 10 names in a jar. How many different sets can you make by randomly picking 3 of them from the jar?
What is Combination
400
Each person in a seven-person committee is assigned a different job. How many ways can the job be assigned?
What is 5,040
400
A painter was carrying 5 pails of different colored paint and dropped two of them. How many combinations of colors could he have spilled?
What is 10
400
Solve: 7!
What is 5,040
500
Permutation or Combination: How many different way can the letters in the word MAUL be arranged?
What is Permutation
500
Jack was asked to hang eight student paintings in a row on the wall. How many different ways could he arrange them?
What is 40,320
500
There are 7 volleyball players on a team but only 5 can be on the court at a time. How many different arrangements can the coach make?
What is 21
500
Solve: 8!
What is 40,320