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1. 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?

   1.   ?    150
   2.   ?    350
   3.   ?    90
   4.   ?    None of the answers given; click to see the solution.

2. 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?

   1.   ?    540
   2.   ?    21
   3.   ?    None of the answers given; click to see the solution.

3. 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?

   1.   ?    20
   2.   ?    83
   3.   ?    46
   4.   ?    None of the answers given; click to see the solution.

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

   1.   ?    7,893,600
   2.   ?    120
   3.   ?    11,881,376
   4.   ?    None of the answers given; click to see the solution.

5. 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?

   1.   ?    1029
   2.   ?    2401
   3.   ?    343
   4.   ?    None of the answers given; click to see the solution.

6. 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?

   1.   ?    60
   2.   ?    30
   3.   ?    90
   4.   ?    None of the answers given; click to see the solution.