1. A certain area of the North Pole contains 10 polar bears, 12 reindeers, and 5 arctic foxes. From these animals, a group of 7 will be selected for Santa's new animal training program. How many distinct groups are possible if 1 a. there are no restrictions; b. there are 2 polar bears, 3 reindeers, and 2 arctic foxes in the group; 1 c. there are exactly 4 reindeers in the group: d. there are no polar bears in the group: 1 e. there is at least one reindeer in the group: 2 f. there are the same number of polar bears as reindeer in the group