Directions: Solve the given problems. Show your solution in every problem. Box your final answer. (5 pts each)

1. Suppose there is a set of 8 candies. In how many ways, 4 candies can be selected from this set?

2 Suppose there is a set of 10 vegetables. In how many ways, 6 vegetables can be selected from this set?

3. Count all possible arrangements of 15 people in a lane.

4. How many possible arrangements are there in a 6 digits password?

5. How many distinguishable permutations are there in a word MISSISSIPPI?

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