The president of a consulting firm wants to minimize the total number of hours i

Question

The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the four projects, as follows:

                       Project (Hours)

Consultant

A

B

C

D

Charlie

13

16

11

13

Betty

11

15

14

18

Johnny

15

22

12

15

Rick

17

17

12

22

In how many different ways can she assign these consultants to these projects?

Consultant

A

B

C

D

Charlie

13

16

11

13

Betty

11

15

14

18

Johnny

15

22

12

15

Rick

17

17

12

22

Explanation / Answer

First candidate can be assigned a project in 4 ways ( either A, B, C or D)

Second candidate can be assigned th project in 3 ways ( three remaining after one has been assigned to first candidate.

Third candidate has only 2 choices.

Last candidate will take the one which remains in 1 way

Total ways in which distribution can be done

4x3x2x1 = 24 ways.

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