Hi,

problem:

Consider the set of all those vectors in each of whose coordinates is either 0 or 1. How many different basis does this set contain?

attempt:

The set I have to choose from has the following elements in it.

.

I've excluded (0,0,0) as this is not part of any basis. More precisely I have

elements in my set.

Now I want to pick three vectors out of a set of seven such that they are linearly independent..Any hints on this one?

Thanks.