Permutations — A/L Combined Mathematics

How do I practise Permutations?

1 question with a worked solution

1. How many distinct 5-letter permutations can be formed using all the letters of the word 'MATHS' without repeating any letter?
   1. A) 24
   2. B) 120
   3. C) 60
   4. D) 720
   Check my answer

   Correct answer: B) 120

   The word 'MATHS' consists of 5 distinct letters (M, A, T, H, S). The number of linear permutations of 5 distinct items is ⁵P₅ = 5! = 5 × 4 × 3 × 2 × 1 = 120.

   Show worked solution

   Step 1: Number of distinct letters n = 5. Step 2: Total permutations = 5! = 120. Answer: 120.
   Modelled on: the A/L Combined Mathematics examination pattern

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Where does Permutations fit in the syllabus?

Year 2 · Term 1