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In how many ways can (6) identical red, (5) identical blue and (4) identical green balls be arranged in a row if no two green balls are adjacent?

Answer and explanation

Correct answer: (228690)

First arrange red and blue balls in (^{11}C_5) ways, then choose (4) of the (12) gaps for green balls. With identical objects, position selection is the key.

Related tags

PermutationsIdentical ObjectsGap MethodPermutations And CombinationsMathematicsClass 11 Mcq

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