$12$ people were asked which of the three television channel ch1, ch2, and ch3 they watch. How many possible results there could be? (For example, one result would be 8 people watch ch1, 10 people watch ch2, and no one watches ch3.

My answer is $12\times2^3$. Is this correct?

For each person, they could watch ch1 or not, then watch ch2 or not, and watch ch3 or not so for each person there are $2^3$ possibilities.