Respuesta :
There are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Supermarket chains select 3 out of 12 possible sites for the construction of a new supermarket.
As we know,
[tex]\rm C(n, r) =\dfrac{n!}{( r! (n - r)! )}[/tex]
n = 12
r = 3
[tex]\rm C(12, 3) =\dfrac{12!}{( 3! (12 - 3)! )}[/tex]
C(12, 3) = 220
Thus, there are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.
Learn more about permutation and combination here:
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