if the number of non-empty subsets of a set A is 4095, find the number of elements in set A
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The answer is 12
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Step-by-step explanation:
Let n be the number of elements in A
Then the number of non-empty subsets of a set A is 2^n - 1
So
2^n - 1 = 4095
2^n = 4096
2^n = 2^12
n = 12
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