Exam-Style Problem

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9709 P62 - Jun 2010 - Q7
2802

Nine cards, each of a different colour, are to be arranged in a line.

  1. How many different arrangements of the 9 cards are possible?

The 9 cards include a pink card and a green card.

  1. How many different arrangements do not have the pink card next to the green card?

Consider all possible choices of 3 cards from the 9 cards with the 3 cards being arranged in a line.

  1. How many different arrangements in total of 3 cards are possible?
  2. How many of the arrangements of 3 cards in part (iii) contain the pink card?
  3. How many of the arrangements of 3 cards in part (iii) do not have the pink card next to the green card?
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