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How many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next


  1. How many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?
  2. How many numbers between 1 and 100 are multiples of 2, 3, or 6?
  3. How many permutations of abcde are there in which the first character is a, b, or c and the last character is c, d, or e?
  4. How many distinct pairs of integers from 1 to 101 inclusive have a sum that is even?

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