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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, 170 take vitamin A regularly, 290 take vitamin C regularly, and 80 take both regularly,. How many do not take either vitamin regularly?

   1.   ?    120
   2.   ?    380
   3.   ?    40
   4.   ?    None of the answers given; click to see the solution.

2. 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?

   1.   ?    480
   2.   ?    21
   3.   ?    None of the answers given; click to see the solution.

3. 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?

   1.   ?    30
   2.   ?    95
   3.   ?    60
   4.   ?    None of the answers given; click to see the solution.

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

   1.   ?    358,800
   2.   ?    98
   3.   ?    456,976
   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 not be repeated?

   1.   ?    360
   2.   ?    840
   3.   ?    210
   4.   ?    None of the answers given; click to see the solution.

6. 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?

   1.   ?    50
   2.   ?    30
   3.   ?    90
   4.   ?    None of the answers given; click to see the solution.