Respuesta :
Using the Fundamental Counting Theorem, it is found that 80 different scores are possible if everyone gets at least one point.
What is the Fundamental Counting Theorem?
It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
There are 4 darts, and for each dart 3 possible scores, hence:
[tex]n_1 = n_2 = n_3 = n_4 = 3[/tex]
Hence the number of possible scores, removing the one score with zero points on all four rounds, is:
N = 3 x 3 x 3 x 3 - 1 = 80.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
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