Question

Participants in a darts tournament get 4 points

Answer 1

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 $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

There are 4 darts, and for each dart 3 possible scores, hence:

$n_1 = n_2 = n_3 = n_4 = 3$

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 brainly.com/question/24314866

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