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Permutations and Combinations Quiz

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Questions and Answers

Which of the following is an example of a combination?

Arranging a president and vice president in a line from a group of 10 candidates

Choosing 3 books from a shelf of 10 books (correct)

Arranging 3 books in a row from a shelf of 10 books

Choosing a president and vice president from a group of 10 candidates

Which of the following formulas is used to calculate the number of combinations?

nCr = n! / r!

nCr = n! / (r! * (n - r)!) (correct)

nPr = n! / r!

nPr = n! / (n - r)!

Which of the following is an example of a permutation?

Choosing a president and vice president from a group of 10 candidates

Choosing 3 books from a shelf of 10 books

Arranging a president and vice president in a line from a group of 10 candidates

Arranging 3 books in a row from a shelf of 10 books (correct)

Study Notes

Combinations and Permutations

A combination is a selection of objects, regardless of the order in which they are chosen.
The formula to calculate the number of combinations is: C(n, k) = n! / (k!(n-k)!)
A permutation is an arrangement of objects in a specific order, with the order of the objects mattering.

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Description

Test your knowledge of permutations and combinations with this quiz! Identify examples of combinations and permutations, and determine which formula is used to calculate the number of combinations. Perfect for class 11 students studying state board curriculum.