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Question
A bag has 5 red, 4 blue, and 4 green marbles. If all are drawn one by one and their colours are recorded, how many different arrangements can be found?
Solution
There are total of 13 marbles in the bag.
Out of these 5 are Red, 4 Blue, and 4 are Green marbles. All balls of the same colour are taken to be identical.
∴ Required number of arrangements = `(13!)/(5!4!4!)`
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