Chapter 5.1, Problem 34MS

Lasso that hole. Consider the first two tori on the left on page 341. Both have two punctures on their sides. On the first torus, a rope is looped through the two holes but does not go around the hole of the torus. On the second, the rope is looped around the hole of the torus. Is it possibel to distort the first torus to look like the second? How about it the rope looped around the hole twice, as shown in the rightmost torus below?