Practice Quiz - Section 6-3 (Form B) - Basic Counting Principles

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.

When you are finished with the quiz, click "Return to Table of Contents" if you would like to return to the Table of Contents to try another quiz.

A nutritionist is conducting a survey of athletes to determine how many regularly take vitamins A and C. Of the 500 athletes surveyed, 160 take vitamin A regularly, 250 take vitamin C regularly, and 60 take both regularly,. How many do not take either vitamin regularly?

150

350

90

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

A restaurant serves 4 soups, 5 salads, 9 main dishes, and 3 desserts. The price-fixed meal consists of choosing one item from each category. How many price-fixed meals are possible?

540

21

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

A group of 100 students includes 45 who play tennis, 38 who play basketball, and 37 who do not play either sport. How many play both sports?

20

83

46

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

How many 5-letter code words are possible using any of the letters of the alphabet if letters cannot be repeated?

7,893,600

120

11,881,376

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

How many different 4-digit numbers can be formed from the digits {1, 2,3, 4, 5, 6, 7} if the number must be at least 5000 and digits may be repeated?

1029

2401

343

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

Of 200 families in a certain neighborhood, 90 own a cat, 50 own a dog, and 110 own a cat or a dog (or both). How many own a cat but not a dog?

60

30

90

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