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N2015 P2 Q11

N2015 P2 Q11

9 marks
Past Year National Exams
Free

This question is about arrangements of all eight letters in the word CABBAGES.

  1. Find the number of different arrangements of the eight letters that can be made.[2]

  2. Write down the number of these arrangements in which the letters are not in alphabetical order.

    [1]
  3. Find the number of different arrangements that can be made with both the A’s together and both the B’s together.[2]
  4. Find the number of different arrangements that can be made with no two adjacent letters the same.[4]

Video Solution:

Default solution

Timothy Gan
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Answer:(i) \({10\,080\text{ ways}}\) (ii) \({10\,079\text{ ways}}\) (iii) \({720\text{ ways}}\) (iv) \({5760\text{ ways}}\)

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