Question
In a group of boys, two boys are brothers and six more boys are present in the group. In how many ways can they sit if the brothers are not to sit along with each other?
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Seating arrangement can be shown as
, where is two boys who are brother.
Let first six boys sit, which can be done in 6! ways. Once they have been seated,
the two brothers can be made to occupy seats in between or in extreme (i.e. on crosses) in ways.
Hence, required number of ways is .
Let first six boys sit, which can be done in 6! ways. Once they have been seated,
the two brothers can be made to occupy seats in between or in extreme (i.e. on crosses) in ways.
Hence, required number of ways is .
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Question Text | In a group of boys, two boys are brothers and six more boys are present in the group. In how many ways can they sit if the brothers are not to sit along with each other? |
Answer Type | Text solution:1 |
Upvotes | 150 |