CAIE A-Level Mathematics AS 5.2.2 Arrangement Restrictions Questions

Practise counting arrangements of repeated objects and applying positional and grouping restrictions.

Exam points

count arrangements when objects or letters are repeated
apply adjacency, grouping and positional restrictions
combine permutation methods to solve constrained arrangement problems

[Maximum number: 4]

Raman and Sanjay are members of a quiz team which has 9 members in total. Two photographs of the quiz team are to be taken.

For the first photograph, the 9 members will stand in a line.

(a)

How many different arrangements of the 9 members are possible in which Raman will be at the centre of the line?

[ 1 ]

(b)

How many different arrangements of the 9 members are possible in which Raman and Sanjay are not next to each other?

[ 3 ]

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CAIE A-Level Mathematics AS 5.2.2 Arrangement Restrictions Questions question 1

Question (a)

Question (b)