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After watching Guardians of the Galaxy, our class became extremely motivated to

ID: 3339124 • Letter: A

Question

After watching Guardians of the Galaxy, our class became extremely motivated to befriend a raccoon. In this class there are 20 males and 16 females. (a) We are going to make two committees from the people in this class. The rst committee will consist of 6 people, 3 males and 3 females, to search for a raccoon to befriend; the second committee will consist of 4 other people, 2 males and 2 females, to wait near a phone and medical supplies so that after the rst committee actually nds a raccoon and realizes that they're vicious beasts, they can be bandaged up and an ambulance can be called. How many ways are there for us to create these committees?

Explanation / Answer

Number of ways = 20C3 * 16C3 * 17C2 * 13C2   

= 1140 * 560 * 136 * 78   

= 6772147200