Suppose that 12 people enter a swim meet. Assuming that there are no ties, in how manyways could the gold, silver, and bronze medals be awarded?

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 12 boys and 5 girls are competing, how many different ways could the six medals possibly be given out?

How many individual events are there in Olympic swimming?

62 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed?

If 10 people are in a race, how many ways can they place Gold, Silver and Bronze?

Answer the questions below.(If necessary, consult a list of formulas.)(a) 63 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed?(b) A certain committee consists of 16 people. From the committee, a president, a vice-president, and a treasurer are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.