Decide if the following problem is an example of a permutation or a combination. State your rationale. For a study, 4 people are chosen at random from a group of 10 people. How many ways can this be done?
Answer
A
combination - set of objects arrangedin a certain order
B
permutation - set of objects arrangedin a certain order
C
combination - an unordered arrangement of objects
D
permutation - an unordered arrangement of objects
Explanation
The order in which the 4 people are chosen does not matter; only which 4 people are selected matters. That makes this an unordered selection, or a combination. The best answer is “combination - an unordered arrangement of objects.”
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