Investigation 10: Combinations and Permutations
Test yourself (Answers)
- Picking two names from a hat to receive a prize of $50 each is an
example of a combination since it doesn't matter in which
order the names are picked. Both will receive the same prize.
- Picking two names from a hat, the first to receive a prize of $50
and the second a prize of $25 is an example of a permutation
since order matters. Picking A then B is not the same result as
picking B and then A, if you think it is just talk to A.
- Picking six numbers for the Loto 6/49 draw is an example of a combination
since you can pick the numbers in any order when making your
selection. The resulting 6 numbers don't change.
- Picking which three horses will be leading at the end of an 8
horse race is an example of a combination. You are not
concerned whether horse A is 1st, 2nd, or 3rd as long as A is in the
first three.
- Picking which horse will finish first, which horse will finish
second, and which horse will finish third in an 8 horse race is an
example of a permutation since order very obviously matters in this
case.
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