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Which situation represents a permutation?

a. awarding first and second prize
b. selecting six marbles from a jar
c. selecting two candidates from a group of 16
d. putting three coins in a purse

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User Chazzu
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1 Answer

5 votes

Answer:

A

Explanation:

A permutation is a way of selecting or arranging objects where the order matters.

Based on this definition, option a. awarding first and second prize represents a permutation because the order in which the prizes are awarded matters (i.e., first place is different from second place).

Option b. selecting six marbles from a jar represents a combination because the order of selection does not matter.

Option c. selecting two candidates from a group of 16 can be a permutation or a combination, depending on whether the order of selection matters or not. If the order matters (e.g., selecting a president and a vice-president), it is a permutation; if the order does not matter (e.g., selecting two members of a committee), it is a combination.

Option d. putting three coins in a purse is not an example of a permutation or a combination, since it does not involve selecting or arranging objects.

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User Walt D
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