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there are 100 boys, 80 girls, and 20 teachers. In how many ways can a group of 5 (2 girls, 2 boys and a teacher) be selected?

  • maths -

    [100!/(2!*98!)]*[80!/(78!)(2!)]*20
    = [(100*99)/2][(80*79)/2)]*2
    = 31,284,000

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