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In: Statistics and Probability

A group of seven people are attending the movies together. (a) Two of the seven insist...

A group of seven people are attending the movies together.

(a)

Two of the seven insist on sitting side-by-side. In how many ways can the seven be seated together in a row?

(b)

Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the seven be seated together in a row?

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