In the last problem , the free kick missed. So now we go to penalty kicks. Each team has 11 players which they put in order to take the kicks. How many ways are there to arrange the 11 dwarves so that the 5 best players are in the first 5 spots?
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There are 5! Ways to arrange the 5 best, and 6! ways to arrange the 6 worst, for a total of 86400