I have to show that $\displaystyle H_0(X,A) = 0$ iff A meets each of the path-components of X.

What I know:

- $\displaystyle H_0(X)$ is the direct sum of n copies ofZwhere n is the # of path-components in X

- A will have at least as many path-components as X

What I don't know:

- How to use relative Homology to prove the result

Help!