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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?
Sum
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Solution
There are total 13 marbles in a bag.
Out of these 5 are Red, 4 Blue and 4 are Green marbles.
All balls of same colour are taken to be identical.
∴ Required number of arrangements = `(13!)/(5!4!4!)`
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