Grade 12 Maths · Probability

Count arrangements with a condition

Count arrangements when there is a condition, for example the word must start with a vowel, or two people must sit together.

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Question 11.1 · May/June 2025 · Paper 1 · National (DBE) · 4 marks

Consider the three-digit numbers from 501 up to 999.
11.1 How many of these three-digit numbers have exactly one 5 in them?(4)

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  1. 3. Question 11.3.3 · May/June 2024 · Paper 1 · National (DBE) · 3 marks

    11.3 Seven guitar players, each with a different name, participate in a concert.
    11.3.3 During the performance, the seven guitar players sit in a line on stage. Four guitar players are female and three are male. In how many different ways can they be seated if the males may not sit next to each other?(3)
    Show the memo (2 ticks)
    1. ✓
      Males placed in the 5 gaps between the females

      1 mark · Count arrangements with a condition

    2. ✓
      Total number of arrangements

      2 marks · Count arrangements with a condition

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