Question

is is possible to have an infinite subset of a finite set?

Answer 1

Nope, if a finite set has "n" elements then the number of elements of any of its subset is less than 2^n

Answer 2

*less than or equal to 2^n

Answer 3

If a finite set has n elements, than any subset will have less than n elements(you can have at most n). I think you are getting this confused with there being 2^n subsets of a set with n elements @ganeshie8

Answer 4

Granted \(n<2^n\) for all n, but I thought I should clarify...

Answer 5

yeah u can form 2^n subsets of the given set right ?

Answer 6

oh right, i see the statement was a bit loose :)

Answer 7

it was totally wrong, thanks for correcting @zzr0ck3r

Answer 8

I am just noticing this is from yesterday... all the old questions got bumped up