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?
Created: 2 years ago |
Updated: 7 months ago
best des
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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