Permutations and Combinations

Question 1

Which expression represents the number of possible combinations of n items taken r at a time?

Revolt · Accepted Answer

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Question 2

A choir has 3 spots open for altos, and 8 altos are interested in them. In how many ways can the open spots be filled?

Revolt · Accepted Answer

56

Question 3

Which statement is true?

Revolt · Accepted Answer

You can use permutations when order matters and use combinations when order doesn’t matter.

Question 4

A president and vice president will be selected from among 35 members of a board. Should permutations or combinations be used when determining the number of possible ways these offices can be filled?

Revolt · Accepted Answer

Permutations should be used because a president is different from a vice president.

Question 5

How many combinations are possible for 13 objects taken 6 at a time?

Revolt · Accepted Answer

1,716

Question 6

A trial jury of 6 people will be chosen from among 18 candidates. How many juries are possible?

Revolt · Accepted Answer

18,564

Question 7

Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week’s show, and 2 more will be eliminated during next week’s show. How many groups of 6 remaining contestants are possible a week from now? Assume that the show airs on the same day every week.

Revolt · Accepted Answer

28

Question 8

A magician performing a magic act has asked for 2 volunteers from the audience to help with his routine. If there are 250 people in the audience, which of the following expressions represents the number of possible pairs of volunteers?

Revolt · Accepted Answer

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Question 9

Which expression represents the number of possible permutations of n items taken r at a time?

Revolt · Accepted Answer

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Question 10

What is ?

Revolt · Accepted Answer

35

Permutations and Combinations Answers

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