7 Nine cards, each of a different colour, are to be arranged in a line.
- How many different arrangements of the 9 cards are possible?
The 9 cards include a pink card and a green card.
- 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.
- How many different arrangements in total of 3 cards are possible?
- How many of the arrangements of 3 cards in part (iii) contain the pink card?
- How many of the arrangements of 3 cards in part (iii) do not have the pink card next to the green card?