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Permutations and Combinations Quiz

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Questions and Answers

Which of the following is the formula for calculating permutations?

(n-r)!

n! / (n-r)! (correct)

n! / r!

What is the difference between permutations and combinations?

Permutations involve repetition, while combinations do not.

Permutations involve the order of items, while combinations do not. (correct)

Permutations and combinations are the same thing.

Permutations involve selecting items, while combinations involve arranging items.

What is the formula for calculating combinations?

n! / r! (correct)

n! / (n-r)!

(n-r)!

Study Notes

Permutations and Combinations

Permutations Formula

The formula for calculating permutations is: nPr = n! / (n-r)!
Where 'n' is the total number of items and 'r' is the number of items chosen.

Permutations vs Combinations

A permutation is an arrangement of objects in a specific order, whereas a combination is a selection of objects without regard to order.
For example, the permutations of ABC are ABC, ACB, BAC, BCA, CAB, and CBA, while the combinations of ABC are AB, AC, and BC.

Combinations Formula

The formula for calculating combinations is: nCr = n! / (r!(n-r)!)
Where 'n' is the total number of items and 'r' is the number of items chosen.

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Description

Test your knowledge of permutations and combinations in mathematics with this quiz! Explore the formulas for calculating permutations and combinations and learn about the key differences between the two concepts.