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Combinations Combination Example: Seven speed skaters are competing in an Olympic race. The first-place skater earns the gold medal, the second-place skater earns the silver medal, and the third-place skater earns the bronze medal. In how many different ways could the gold, silver, or bronze medals be awarded if the order does not matter? The letters A, B, C, D, E, F, and G will be used to represent these seven skaters. When order matters - FDE is different from EFD When order does not matter - FDE is the same as EFD The number of combinations of items selected from a set of a distinct items is " Ck = k n! K! or Ck = k! (n - k)!" If the number of permutations, when order does matter, is 210 (as shown below), find the number of combinations. 7! 7! 7P3 = 210. (7 - 3 )! 4