Practice Quiz - Section 6-3 (Form A) - 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, 170 take vitamin A regularly, 290 take vitamin C regularly, and 80 take both regularly,. How many do not take either vitamin regularly?

120

380

40

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

A restaurant serves 3 soups, 4 salads, 10 main dishes, and 4 desserts. The price-fixed meal consists of choosing one item from each category. How many price-fixed meals are possible?

480

21

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

A group of 100 students includes 52 who play tennis, 43 who play basketball, and 35 who do not play either sport. How many play both sports?

30

95

60

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

How many 4-letter code words are possible using any of the letters of the alphabet if letters cannot be repeated?

358,800

98

456,976

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 not be repeated?

360

840

210

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

Of 200 families in a certain neighborhood, 80 own a cat, 60 own a dog, and 110 own a cat or a dog (or both). How many own a cat but not a dog?

50

30

90

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