Homotopy Equivalence of Punctured Tori

I was told recently that if I take a 2-torus (genus 2) and remove 1 point, then this is homotopy equivalent to a torus with 3 points removed. This may be really easy but I don't see it.

Thank you!

• A surface minus a finite number of points is homotopy equivalent to a bouquet of circles, and two bouquets of circles are homotopy equivalent iff they have the same number of circles. – Mariano Suárez-Álvarez May 21 '10 at 0:49
• Mariano -- your comment seems to be the best answer. Please consider leaving it as such so as to give the OP the option of accepting it. – Pete L. Clark May 21 '10 at 11:42