Asked by trevor
A set is known to have 255 proper subsets. How many distinct elements does this set have?
Answers
Answered by
Reiny
by proper subsets I assume we would exclude the empty set
So with the empty set there were 256 subsets
for n elements, the number of subsets is 2^n
2^n = 256
but 256 = 2^8
so n = 8
and there were 8 elements in the set
So with the empty set there were 256 subsets
for n elements, the number of subsets is 2^n
2^n = 256
but 256 = 2^8
so n = 8
and there were 8 elements in the set
Answered by
wami
255
Answered by
Edlawit baye
Yes
Answered by
ENTU
2^8
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