Question

a design company is hiring a designer, a engineer a manager and a secretary, if there are 70 applicants how many ways can they choose to hire for these 4 different positions, if the role that each person is assigned matters?

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Dexter

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68 Answers

To find the number of ways to choose one person for each of the four different positions from 70 applicants, we can use the concept of permutations.

The number of ways to choose the designer from 70 applicants is 70.

The number of ways to choose the engineer from the remaining applicants is 69.

The number of ways to choose the manager from the remaining applicants is 68.

The number of ways to choose the secretary from the remaining applicants is 67.

Therefore, the total number of ways to choose one person for each of the four different positions is:

70\times69\times68\times67=22005480

\boxed{22005480} ways to choose one person for each of the four different positions from 70 applicants.

The number of ways to choose the designer from 70 applicants is 70.

The number of ways to choose the engineer from the remaining applicants is 69.

The number of ways to choose the manager from the remaining applicants is 68.

The number of ways to choose the secretary from the remaining applicants is 67.

Therefore, the total number of ways to choose one person for each of the four different positions is:

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