CAIE IGCSE Additional Mathematics 11.3 Arrangements & Selections Question Bank
Practise counting restricted arrangements and selections in line-ups, photographs, passwords and digit problems.
- Syllabus
- 2028–2030
- Course
- Additional Mathematics 0606
Exam points
- treat adjacent items as one block, then multiply by arrangements within the block
- split digit or password counts into non-overlapping cases for the final condition
- exclude leading zero, repeated symbol or forbidden-position cases before totaling
11.3. Solve arrangement and selection problems question 1
[Maximum number: 6]
Question (a)
(a)
Find how many different 4-digit numbers can be formed using the digits 2, 3, 5, 7, 8 and 9, if each digit may be used only once in any number.
[ 1 ]
360
B1
Question (b)
(b)
How many of the numbers found in part (i) are divisible by 5 ?
[ 1 ]
60
B1, FT on their (a)(i) divided by 6.
Question (c)
(c)
How many of the numbers found in part (i) are odd and greater than 7000 ?
[ 4 ]
Complete plan for odd numbers greater than 7000.
M1
Starts with 8 and ends with odd: 48. B1
Starts with 7 or 9 and ends with odd: 72. B1
120
A1
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