The Pythagorean Triple Threat is a coed softball team. League rules require the batting order to alternate boy-girl-boy-girl… (or girl-boy-girl-boy…). If there are five girls and five boys on the team, how many different batting orders are possible?
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Answer:
28800
Step-by-step explanation:
1.) There are 5! ways to arrange the 5 girls and 5! ways to arrange the 5 boys.
2.) Since there are only two ways to alternate, either a girl goes first or a boy goes first, then there are 2 x 5! x 5! = 2 x 120 x 120 = 28800 batting orders that are possible.
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