Topics
7. Probability & Statistics
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United States of AmericaVA
Algebra 2

7.08 Permutations and combinations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

If we want to select $r$r item from $n$n items, and the order of the arrangement is important, which of the following should be used?

Combination

A

Permutation

B
Easy
< 1 min

If we want to select $r$r item from $n$n items, and the order of the arrangement is not important, which of the following should be used?

Easy
< 1 min

Calculate the number of permutations of $5$5 objects taken $5$5 at a time.

Easy
2 min

Does the code used to unlock a combination lock represent a permutation or a combination of objects?

Medium
< 1 min
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Outcomes

A2.ST.3

The student will compute and distinguish between permutations and combinations.

A2.ST.3a

Compare and contrast permutations and combinations to count the number of ways that events can occur.

A2.ST.3b

Calculate the number of permutations of n objects taken r at a time.

A2.ST.3c

Calculate the number of combinations of n objects taken r at a time.

A2.ST.3d

Use permutations and combinations as counting techniques to solve contextual problems.

A2.ST.3e

Calculate and verify permutations and combinations using technology.

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