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University of Missouri - Columbia There are ways that 6 people can be lined up to get on the bus. (That is because there are 6 ways to choose who is first, for each of those choices, there are 5 ways to choose who is second, and so on).There are ways to line up 6 people placing together the 2 people who refuse to be next to each other.{That is because there are ways to arrange the other 4 people, ways to arrange the 2 people who refuse to be next to each other, and places to insert the problem pair in the line formed by tho other 4). Since of the ways that 6 people can be lined up to get on the bus place together the 2 people refuse to be next to each other,there are ways to line up the 6 people keeping apart the 2 people who refuse to be next to each other. $\begingroup$
(a) In how many ways can 6 people be lined up to get on a bus? Answer = 4! * 3! (c) If 2 specific persons, among 6, refuse to follow each other, how many ways are possible ?Answer = 6! - 5! * 2 I can't figure out how we got the answer of part (c). May you explain how to think in order to solve such question
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