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in how many ways can 8 people be seated around a circular table if two of them insist on sitting beside each other​

Sagot :

Kathreentordilidn

Answer:

Number of ways in which 7 people can be seated around a round table without any condition is 6!.

Now, let us assume these two particular people ALWAYS sit together and let us consider them as one unit.

Number of ways in which 6 people can be arranged around a round table is 5! And the two particular peopke can be arranged betwern them selves in 2! = 2 ways.

Hence, number of ways in which 7 people can sit around a round table where the two people must not sit together is :

6! - (5! X 2) = 120 x 4 = 480

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