2023HSCMultiple choice

Q10

1 mark

Question

A group with 5 students and 3 teachers is to be arranged in a circle.

In how many ways can this be done if no more than 2 students can sit together?
A. $4!\times3!$
B. $5!\times3!$
C. $2!\times5!\times3!$
D. $2!\times2!\times2!\times3!$

Try the question before revealing the answer.

Syllabus alignment

Combinatorics

Working with CombinatoricsApply permutations, combinations and counting principles to problems involving arrangements and selections.

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