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How many different subsets does a set with ten elements have?
Include the method you used to obtain the answer.
1 Answer
- 1 decade agoFavorite Answer
2^10.
Think of it this way. You have 9 friends. How many different groups can you form?
Is Natalie coming? yes/no
Is ellie coming? yes/no
is Nathan coming? yes/no
Etc.
Each element is a yes or no question. A group with Ellie and Natalie is a differnet subset than Ellie and Nathan, is a different subset than Natalie, Ellie, and Nathan.
So, 10 friends, 10 yes or no questions, equals 2x2x2x2x2x2x2x2x2x2 = 2^10.
