Practice Quiz - Section 6-4 (Form B) - Permutations and Combinations

Multiple-choice exercise

Work out the problem on paper and then choose the letter for your answer. After you have successfully answered all questions, look at the top of the page to see how you did.

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There are 25 people who work in an office together. Four of these people are selected to go to the same conference together. How many such selections are possible?

12,650

303,600

100

None of the answers given; click to see the solution.

There are 25 people who work in an office together. Four of these people are selected to attend four different conferences. The first person selected will go to a conference in New York, the second will go to Chicago, the third to San Franciso, and the fourth to Miami. How many such selections are possible?

303.600

12,650

100

None of the answers given; click to see the solution.

Serial numbers for a product are to be made using four letters (using any letter of the alphabet) followed by three single-digit numbers. For example, JDGR209 is one such serial number. How many such serial numbers are possible if neither letters nor numbers can be repeated?

258,336,000

1,794,000

359,520

None of the answers given; click to see the solution.

A 7-card hand is chosen from a standard 52-card deck. How many of these will have five spades and two hearts?

100,386

24,092,640

1365

None of the answers given; click to see the solution.

In a new group of 20 employees at a restaurant, 14 are to be assigned as servers, 4 are to be assigned as hosts, and 2 are to be assigned as cashiers. In how many ways can the assignment be made?

581,400

38,776

112

None of the answers given; click to see the solution.

In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 18 people?

556,920

13,366,080

18,564

None of the answers given; click to see the solution.

There are 12 students from whom 5 are going to be chosen to represent their school at a conference. If Jack, Anna or Chris, but only one of them, must be chosen, in how many ways can the students be chosen to go to the conference?

378

792

1485

None of the answers given; click to see the solution.