There are 700 students in a middle school. At the end of the year, there is...

There are 700 students in a middle school. At the end of the year, there is a school-wide drawing for 3 identical new bicycles.

Is this a combination or a permutation? Why?

How many possible outcomes of the drawing are there?

Suppose that bicycles in the drawing are not identical: One bike is plated in gold and valued significantly higher than the other two, the silver and bronze bikes, with the bronze being the cheapest.

Does this change the number of possible outcomes of the drawing? Explain.

Solutions

Expert Solution

a) Given that there are 700 students in a middle school. At the end of the year, there is a school-wide drawing for 3 identical new bicycles.

Therefore this is an example of combination since the order in which the bicycles drawn didn't matter.

b) The number of possible outcomes of the drawing are:

The number of possible outcomes of the drawing are: 56921900

3. Now suppose the three bicycles are not identical,One bike is plated in gold and valued significantly higher than the other two, the silver and bronze bikes, with the bronze being the cheapest.

This will change the number of possible outcomes.

Since it is the example of permutation.

Therefore the number of outcomes are:

700*699*698=341531400

Since there are 700 choices for bike plated in gold, 699 choices for the silver and 698 for bronze bikes

milcah answered 9 months ago

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