Question: A high school has 20 math majors and a college has 17 biology majors. Part 1: Both the high school and the college need to

A high school has 20 math majors and a college has 17 biology majors.

Part 1: Both the high school and the college need to form a group of 8 people to represent them. How many groups are there possible if there's an even number of people from both majors?

Part 2: After 8 students are chosen for the group, 2 will be picked from that group, one to manage and the other will direct. How many possible are there to pick to pick these two people?

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