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a. There are six contestants in a race. The winner receives a gold medal, second place a silver medal and third place a bronze medal. How many ways can these three medals be awarded among the six contestants? If you use a formula to answer this question, explain why the formula is the correct one to use.
b. Suppose I have three, identical copper medals. How many ways can I give a copper medal to six people? If you use a formula to answer this question, explain why the formula is the correct one to use.
5) 4.4
At the supermarket, there are five types of apples available to buy.
a. If exactly two are placed in a bag, how many different ways are there to pack a bag of apples?
b. If any formulas are used, describe them and why they are the correct ones to use.
c. List all the ways explicitly using appropriate symbols for each of the six apples.
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