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Twenty people apply for seven jobs that are available at fly by night aircraft company

In how many ways could such a group be composed?

After the seven have been selected, in how many different ways could five of them be assigned to the assembly department?

  • math -

    number of ways to choose 7 from 20
    = C(20,7) = 77520

    For each of those, the number of ways you can choose 5 out of the 7 is C(7,5) = 21

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