Question
A set is known to have 255 proper subsets. How many distinct elements does this set have?
Answers
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
wami
255
Edlawit baye
Yes
ENTU
2^8