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1. There are 10 orange sodas, 15 cream sodas and 7 cherry sodas in an ice chest. How many sodas must be removed from the ice chest to guarantee that one of each type of soda has been chosen?
- A. 16
- B. 16
- C. 16
- D. 16
Answer: Option D
Explanation:
To guarantee that one of each type of soda (orange, cream, and cherry) has been chosen, you need to remove enough sodas to ensure that you have at least 1 of each type.
First, remove 10 orange sodas. Now you have 10 orange, 15 cream, and 7 cherry sodas remaining.
Next, remove 15 cream sodas. Now you have 10 orange and 7 cherry sodas remaining.
Finally, remove 1 cherry soda.
At this point, you will have removed a total of 10 (orange) + 15 (cream) + 1 (cherry) = 26 sodas to guarantee that you have at least one of each type.
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