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Permutation and Combination - Arrangements with Objects Separated

Permutation and Combination - Arrangements with Objects Separated

Given that all balls are identical in shape and sizes. Find the number of arrangements of \(4\) red balls, \(3\) blue balls and \(6\) purple balls in which

  1. the red balls are separated,
  2. the blue balls are separated,
  3. the purple balls are separated.

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Answer:(i) \(17640\) (ii) \(34650\) (iii) \(980\)

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