Answer:
210 ways..
Step-by-step explanation:
This is 10C4 (combinations of 4 from 10).
= 10! / 4! 6!
= 10* 9 * 8 * 7 / 4 * 3 * 2 * 1
= 210.
Using the permutation formula, it is found that there are 5040 ways to assign 4 of her salespeople to different states.
The order is important, as each person is assigned to a different state, hence the permutation formula is used to solve this question.
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 people are taken from a set of 10, hence:
[tex]P_{10,4} = \frac{10!}{6!} = 5040[/tex]
There are 5040 ways to assign 4 of her salespeople to different states.
More can be learned about the permutation formula at https://brainly.com/question/25925367
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