A group of eight people are attending the movies together.
(a) Two of the eight insist on sitting side-by-side. In how many ways can the eight 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 eight be seated together in a row?
To find the number of ways so that eight be seated together in a row.
A group of eight people
The objective is to find the number of ways that eight people are seated beside each other.
If two people are sitting side by side, then there are possible ways of selecting adjacent places.
Consider the two people as one person, and then the number of arrangements for sitting is ways.
As the two people can be arranged in ways then the total number of arrangements is:
To find how many ways can the eight be seated together in a row.
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