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Suppose that I am buying 12 sets of iphones that are either black, white, green, or...

  1. Suppose that I am buying 12 sets of iphones that are either black, white, green, or red. Suppose that each iphone of the same colour are indistinguishable from one another. How many combinations are there such that I have at least 2 black sets and at most 1 red set?
  2. Repeat question 1 with the additional requirement that I would still have at least 1 set of blue headphone if I break 3 iphones sets randomly over the next month.
  3. Ignoring the restrictions from the previous questions, suppose that I bought 3 sets of iphones of each colour . I place them in a circle for display. Suppose that the positions of the headphone sets in that circle matters, meaning, rotation of the same ordering counts as a different arrangement. How many ways can I do that if no 2 white iphones sets can be placed next to each other?
Math   Statistics-And-Probability   
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