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Lesson: Applied Arithmetic - 32t01

Combinations And Permutations, continued

[Page 32 of 36]

To find the number of permutations, simply multiply the possible number of outcomes for the first position times the possible number of outcomes for the second position, and so on. Just remember that the group gets smaller as you go along.

Task Below is the example from the previous page. Type your answers into the Text Boxes provided, and then click Continue.

Five runners run in a race. The runners who come in first, second, and third place will win gold, silver, and bronze medals respectively. How many possible outcomes for gold, silver, and bronze medal winners are there?

5  x  4  x  3  =  60
# who could come in first place
# remaining who could come in 2nd
# remaining who could come in 3rd
# of possible outcomes for 1st, 2nd and 3rd place

Any of the 5 runners could come in first place, leaving 4 runners who could come in second place, leaving 3 runners who could come in third place, for a total of: 5 x 4 x 3 = 60 possible outcomes for gold, silver and bronze medal winners.

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