2026 IGCSE Additional Mathematics May/June 0606/23 Q8

2026 IGCSE Additional Mathematics May/June 0606/23 Q8

6 marks
  1. The letters A, B, C, D, E are to be arranged in a straight line.
    Find the number of possible arrangements if the first letter is A or B and the last letter is not E.[2]
  2. Five digits are selected from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9.
    No digit may be used more than once in any selection.
    The order of the digits in any selection does not matter.
    Find how many of these selections can be formed if
    1. the selection contains one even digit and at least three odd digits,[2]
    2. the selection contains at least one digit greater than 6.[2]

Solution:

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Answer:(a) \(36\) (b)(i) \(20\) for exactly one even digit; see wording note. (ii) \(120\).

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