Question
W contains the best places to visit in the USA in 2015 according to U.S. News Travel. If W= {Maui, Yellowstone, Grand Canyon, San Francisco, Yosemite, Washington D.C., New York City, Honolulu-Oahu, San Diego}, how many proper subsets does W contain?
Answers
GPT 3.5
A proper subset is a subset of a set that does not include all the elements of the original set. In this case, the set W has 9 elements.
To calculate the number of proper subsets of W, we can use the formula 2^n - 1, where n is the number of elements in the set.
So, for a set with 9 elements, the number of proper subsets would be 2^9 - 1 = 512 - 1 = 511.
Therefore, the set W contains 511 proper subsets.
To calculate the number of proper subsets of W, we can use the formula 2^n - 1, where n is the number of elements in the set.
So, for a set with 9 elements, the number of proper subsets would be 2^9 - 1 = 512 - 1 = 511.
Therefore, the set W contains 511 proper subsets.