Four people in Abe's family are traveling to Canada for their vacation. They have four seat in the center section of the plane. Abe wants to sit next to his brother Ben. In how many different ways can the four people be seated do that Abe and Ben can sit next to each other?

Question

Audrina Noble

Mathematics

22 January, 05:18

Four people in Abe's family are traveling to Canada for their vacation. They have four seat in the center section of the plane. Abe wants to sit next to his brother Ben. In how many different ways can the four people be seated do that Abe and Ben can sit next to each other?

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Answers (1)

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Julien Case · Answer 1

Answer: The answer is 12 ways.

Step-by-step explanation: Given that For members of Abe's family are travelling to Canada for vacations. They have four seats in the centre section of the plane. Also, Abe wants to sit next to his brother Ben. We need to find the number of ways in which they can sit.

Since Abe will sit next to his brother Ben, so we can count both of them as one. Hence, taking them as one member, three members can sit in 3! ways.

Also, Abe and Ben among themselves can sit in 2! ways.

Therefore, the total number of ways in which they can sit

= 3! * 2!

=3 * 2 * 1 * 2 * 1

=12.

Thus, the number of ways is 12.