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  • How many different ways can 7 people be arranged in a circle so that two people must sit together?  Option: 1 120<div cl

How many different ways can 7 people be arranged in a circle so that two people must sit together?

 

Option: 1

120


Option: 2

360


Option: 3

720


Option: 4

240


Answers (1)

best_answer

Given that,

There are 7 people arranged in a circle.

The 2 people sitting together are considered as one "unit" and the other 5 people as 5 "units". Arrange 6 "units" in a circle.

\left ( 6-1 \right )!=5!=120\ \text{ways.}

Since the two people sit together, assuming 2 boys together as 1 unit.

The two people can be arranged in 2! ways.

Therefore, the number of ways the people are arranged in a circle is

120\times 2=240\ \text{ways.}120\times 2=240\ \text{ways.}

Posted by

shivangi.shekhar

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