Question

Andi and his 4 friends go to the cinema. In how many different orders can they sit next to each other a reserved in 5 places if Andi sits in the middle?

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Clarabelle

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84 Answers

Solution:

1. Position Andi in the middle seat. There are5 seats, so Andi will be in the 3^{rd} seat.

2. The remaining4 friends need to be arranged in the 4 remaining seats.

3. The number of ways to arrange4 friends in 4 seats is given by 4! (4 factorial).

4. Calculate4! :

4! = 4 \times 3 \times 2 \times 1 = 24

So, there are24 different ways for Andi and her 4 friends to sit in a row of 5 seats with Andi in the middle.

1. Position Andi in the middle seat. There are

2. The remaining

3. The number of ways to arrange

4. Calculate

So, there are

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