Question: There are 4 different red marbles, 5 different orange marbles and 6 different green marbles. In how many ways can a person make a selection

  1. There are 4 different red marbles, 5 different orange marbles and 6 different green marbles. In how many ways can a person make a selection of 3 marbles from the basket if all the marbles are of the same color?
  2. 200 people buy raffle tickets. 3 winning tickets will be drawn at random. If the first prize is $100, the second prize is $50 and the third prize is $20, in how many different ways can the prizes be awarded?
  3. A 4-letter password is to be formed from the letters P, A, B, U, S, E, R. Find the number of different passwords can be formed if all vowels are included and to be placed next to each other.

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