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In how many ways can we form a five-person government from a group of 50 if: the government is made of 5 unique positions the

In how many ways can we form a five-person government from a group of 50 if:

  1. the government is made of 5 unique positions
  2. the government is made of 5 equal positions

How many unique seating arrangements exist in a group of 10 people?

How many ways can we rearrange the letters in MATH? What is the probability that a random rearrangement starts with A?

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