Distinguishing between the individual ranks of the students

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A mathematics contest is held among four high schools. Each school enters a team of three students. The twelve contestants are ranked from 1 (best performance) to 12 ( worst performance). The team that has the overall best performance (i.e., the lowest sum of ranks of the three students in the team) gets an award. In how many ways can the 12 ranks be assigned among the four teams without distinguishing between the individual ranks of the students in each team (since only the sum of their ranks matters)?

Reference no: EM132382096

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