Asked by Boris

A set has 256 subsets how many element has the set?
Answered by Reiny
for n elements, the number of subsets = 2^n

2^n = 256
we know 2^8 = 256

So there are 8 elements
Answered by Michael
8 Elements
Answered by emmanuel Mvukiyehe
As 2^n=256
2^n=2^8
simplifying the base 2, get

n=8 as n is the number of elements in a set, there are 8 elements in a set
Answered by nicole
Can you generalize the relationship between the number of elements in a set and
the number of subsets?
Answered by Esther
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Answered by Eustars
We use 2^n= to the number of subset

2ⁿ=256
2ⁿ=2⁸
n=8

:. Number of elements in set A are 8
Answered by Eustars
We use 2^n= to the number of subset

2ⁿ=256
2ⁿ=2⁸
n=8

:. Number of elements in a set are 8
Answered by Mercy
No. of subsets = 2^n
256 = 2^n
2×2×2×2×2×2×2×2 = 2^n
2^8 = 2^n
8 = n
n = 8
.: There are 8 elements.
Answered by Kevin mart
Solution :n(subset of A)=2n
n=? 256=2n
First we find prime factorization of 256. 2n=256
2n=2 The power of 8
n=8
Therefore the number of elements of set are 8
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