Question

find a number of ways 4 territories can be assigned (one each) to 4 of a company's 9 salemans

Answer 1

@mathstudent55 help??

Answer 2

The territories are all different and so are the salesmen, so this is a permutation problem, (as opposed to a combination problem). The first territory can go to any of 9 salesmen, leaving 8 salesmen for receiving that second territory, etc:

9 x 8 x 7 x 6

This is mathematically:

9 P 4

which is:

(9!)/(9 - 4)! or (9!) / (5!)

(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (5 x 4 x 3 x 2 x 1)

9 x 8 x 7 x 6

Answer 3

All good now, @jdag ?

Answer 4

so my answer is 3,024?

Answer 5

Yes! you got it. Good job!

Answer 6

thanks!! and i have another question as weellll

Answer 7

uw! Just start another post and I or someone else will see you over there. Good luck to you in all of your studies and thx for the recognition! @jdag