Difference between revisions of "Permutation and Combination Activity 5"
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## Permutations, because the order of the CDs selected does matter. | ## Permutations, because the order of the CDs selected does matter. | ||
## '''Combinations, because the order of the CDs selected does not matter'''. | ## '''Combinations, because the order of the CDs selected does not matter'''. | ||
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Solution : Combination, because 9 selected CDs | Solution : Combination, because 9 selected CDs | ||
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## '''Permutations, because the order of the selected winning tickets does matter. ''' | ## '''Permutations, because the order of the selected winning tickets does matter. ''' | ||
## Combinations, because the order of the selected winning tickets does not matter. | ## Combinations, because the order of the selected winning tickets does not matter. | ||
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| + | Solution : Permutations, because 3 prizes are different – as they have different amount of money and the order in this case matters . | ||
=== Evaluation at the end of the activity === | === Evaluation at the end of the activity === | ||
[[Category:Permutations and Combinations]] | [[Category:Permutations and Combinations]] | ||
Latest revision as of 11:27, 30 January 2020
Objectives
Understand the difference between permutation and combination
Estimated Time
Prerequisites/Instructions, prior preparations, if any
In the following exercises determine whether the problem involves permutations or combinations and explain why. It is not necessary to solve the problem.
Materials/ Resources needed
Paper, Pencil
Process (How to do the activity)
- A music CD library offers a choice of 9 CDs from a list of 60. In how many ways can a member make a selection?
- Permutations, because the order of the CDs selected does matter.
- Combinations, because the order of the CDs selected does not matter.
Solution : Combination, because 9 selected CDs the order does not matter.
- One hundred people purchase lottery tickets. Three winning tickets will be selected at random. If first prize is $100, second prize is $50, and third prize is $10, in how many different ways can the prizes be awarded?
- Permutations, because the order of the selected winning tickets does matter.
- Combinations, because the order of the selected winning tickets does not matter.
Solution : Permutations, because 3 prizes are different – as they have different amount of money and the order in this case matters .