SOLUTION: Can I use permutation to solve this question? Nine cards, all in a different colour, 3 cards are selected from the 9 cards and arranged in a line. How many different possible arr

Question 1175904: Can I use permutation to solve this question?
Nine cards, all in a different colour, 3 cards are selected from the 9 cards and arranged in a line.
How many different possible arrangements of 3 selected cards do not have the pink card next to the green card?
My solution:
9P3=504
(P next to G)=2*2*7P1=28
(P away from G)=504-28=476

Answer by ikleyn(52921) (Show Source): You can put this solution on YOUR website!
.

This problem came SEVERAL TIMES to the forum during last couple of weeks.

an I just solved it several times.

See my solution under this link

https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1175421.html

https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1175421.html

It looks like your solution is correct, but it goes with no explanations, so . . .

So learn from my referred post, with full explanations.

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