Math, asked by shaikhbisma099, 9 months ago

The sales manager of a clothing company needs to assign seven salespeople to seven different territories. How many possibilities are there for the assignments?

Answers

Answered by amitnrw
0

Given : The sales manager of a clothing company needs to assign seven salespeople to seven different territories

To find : How many possibilities are there for the assignments

Solution:

assigning seven salespeople to seven different territories.  

Sales people = 7

Different territories =  7

Number of Ways  can be assigned  =  ⁷P₇

= 7!/(7 - 7)!

= 7!/0!

= 5040/1

= 5040

Another way

1st sales person can be assigned in 7 ways

2nd Sales person can be assigned in 6 ways

3rs Sales person in 5 ways

and so on

Hence 7 * 6 * 5 * 4 * 3 * 2 * 1  =    5040

5040  possibilities are there for the assignments

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