Instructions
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Question
Amy, Ali, the Tan family (consisting of 1 members) and 2 other people are together one day.
They line up for a photograph in a straight line. Find the number of ways they can be arranged such that
- Ali and Amy are next to each other,
- the Tan family are not all next to one another,
- members of the Tan family are separated by at least 1 other person,
- either Ali and Amy are next to each other, or the Tan family are all next to one another, or both.
They now visit a restuarant and is seated at a round table. Find the number of ways they can be arranged such that
- there are 3 seats and there are no restrictions,
- there are 4 seats and the Tan family are all next to one another,
- there are 5 seats and there are no restrictions.
Answer
- 6
- 7
- 8
- 9
- 10
- 11
- 12
13