SOLUTION: Which of the following sets will have 32 subsets?
A. A = {1,2,3,4}
B. B = {1,2,3,4,5}
C. C = {1,2,3,4,5,6}
D. D = {1,2,3,4,5,6,7}
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-> SOLUTION: Which of the following sets will have 32 subsets?
A. A = {1,2,3,4}
B. B = {1,2,3,4,5}
C. C = {1,2,3,4,5,6}
D. D = {1,2,3,4,5,6,7}
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Question 762409: Which of the following sets will have 32 subsets?
A. A = {1,2,3,4}
B. B = {1,2,3,4,5}
C. C = {1,2,3,4,5,6}
D. D = {1,2,3,4,5,6,7} Answer by solver91311(24713) (Show Source):
For each element of a set, there are exactly two possibilities, either the element is in a particular subset or it is not. Hence for a set of n elements there are 2 * 2 * 2 * ... * 2 (for n factors) which is to say possible subsets. So how many elements in the set do you need so that ?
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it