A deli offers its cheese sandwich with various combination's of mayo, lettuce, tomatoes, pickles, and sprouts. 5 types of cheese are available. How many different cheese sandwiches are possible?
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To find the number of different cheese sandwiches possible, we need to multiply the number of options for each ingredient together.
In this case, we have 5 types of cheese, and for each cheese, we have the options of adding or not adding each of the other ingredients (mayo, lettuce, tomatoes, pickles, and sprouts).
Since there are 5 cheeses and 5 ingredients, we can consider each ingredient individually and then multiply the results together.
For the first ingredient, mayo, we have 2 options: either adding it or not adding it.
For the second ingredient, lettuce, we have 2 options: either adding it or not adding it.
For the third ingredient, tomatoes, we have 2 options: either adding them or not adding them.
For the fourth ingredient, pickles, we have 2 options: either adding them or not adding them.
For the fifth ingredient, sprouts, we have 2 options: either adding them or not adding them.
To find the total number of different cheese sandwiches, we need to multiply the number of options for each ingredient:
2 (mayo options) * 2 (lettuce options) * 2 (tomatoes options) * 2 (pickles options) * 2 (sprouts options) = 2^5 = 32
Therefore, there are 32 different cheese sandwiches possible.