In a large pot of boiling water, cook the broccoli for about 2 minutes or until al dente. Cool in an ice bath and drain. In the same pot of boiling water, cook the beans for about 3 minutes or until tender. Cool in the ice bath and drain. In the same pot of boiling water, add the vermicelli. Remove from the heat and let rest for 3 minutes or until tender. Drain and rinse under cold running water. Drain well and pat dry, if needed. Coarsely cut the noodles and place in a large bowl.