The thirty-one students in a certain discrete mathematics class all live in one of three dorms on campus: 11 live in Harley Hall, 10 live in Kieffer Hall, and 10 live in Naugle Hall. The professor wants to form a group of six students for a special project. 1. How many choices are there for the group? 2. In how many of these possibilities do all the students live in the same dorm? 3. What percentage of the total possibilities does the number in Part 2 amount to? Write your answer as a percentage, rounded to the nearest tenths place digit, but do not include the % symbol in the box.

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