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
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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