Answer: 220
Step-by-step explanation:
We know that the combination is a method to determine the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we apply the formula given below:-
[tex]^nC_r = \dfrac{n!}{(n-r)!r!}[/tex], where n represents the total number of items, and r represents the number of things being chosen at a time.
The given expression : [tex]^{12}C_3[/tex]
Then by using above formula , we have
[tex]^{12}C_3 = \dfrac{12!}{(12-3)!3!}\\\\=\dfrac{12\times11\times10\times9!}{9!\times6}=220[/tex]
