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In how many ways can 14 blue, 1 gold, 2 green, 3 red and 1 white bulbs, be arranged on a straight string of lights

  1. In how many ways can 14 blue, 1 gold, 2 green, 3 red and 1 white bulbs, be arranged on a straight string of lights will hold 21 bulbs, if all the bulbs are identical except for color?
  2. How many 5 digit numbers can can be formed by selecting different digits from1, 2, 3, ... 9?
  3. How many positive five digit even numbers exist?(Digits can be repeated.)

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