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You have 12 toppings to put on your ice cream sundae. How many ways are there to place 3 of the toppings on the ice

You have 12 toppings to put on your ice cream sundae.

  1. How many ways are there to place 3 of the toppings on the ice cream sundae in order?
  2. How many ways are there to choose 3 ingredients for the ice cream sundae if order doesn't matter?
  3. Explain why one solution uses a Permutation and one uses a combination
  4. Explain the connection between permutations and combinations in a similar context with the same values.

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