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COMEDK2017MathematicsPermutation and Combination

In how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row, if the discs of the same colour are indistinguishable?

Options

  1. A1200
  2. B1220
  3. C1240
  4. D1260

Correct answer

D. 1260

Step-by-step solution

Total number of dises are 4+3+2=9 . Out of 9 dises, 4 are of the first kind (red) 3 are of the second kind (yellow) and 2 are of the third kind (green). Therefore, the number of arrangements = 9 ! 4 ! 3 ! 2 ! =1260

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