State if each scenario involves a permutation or a combination. Then find the number of possibilities. 5) Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks. 6) There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?

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A: Newton's divided differences interpolation