A set has 256 subsets how many element has the set?

Answer 1

for n elements, the number of subsets = 2^n

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

So there are 8 elements

Answer 2

8 Elements

Answer 3

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

Answer 4

Can you generalize the relationship between the number of elements in a set and
the number of subsets?

Answer 5

School is a good idea to advertise

Answer 6

We use 2^n= to the number of subset

2ⁿ=256
2ⁿ=2⁸
n=8

:. Number of elements in set A are 8

Answer 7

We use 2^n= to the number of subset

2ⁿ=256
2ⁿ=2⁸
n=8

:. Number of elements in a set are 8

Answer 8

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.

Answer 9

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