Question

How many subsets does the set {1, 2, 3} have?


6
7
8

Answer 1

6??

Answer 2

I think it's 8..Why do you say 6?

Answer 3

i dont know i jsut added them

Answer 4

Ah no
We have to see how many sets we can make
So,
{ }
{1}
{2}
{3}
{1,2}
{,3}
{2,3}
{1,2,3}

Answer 5

{1,3}*

Answer 6

I thing uri is right. For each element in the set, there are two choices: either it can be in the subset or not. There are 2 choices for the first element, 2 choices for the second, and 2 for the third, so the answer is \(2^3\).

In general, if you have a finite set with \(n\) elements, the number of subsets is \(2^n\).

Answer 7

ohhhh now i get it thanks