If exactly three darts hit this target, how many different scores are possible?
darts circle
1
3
5
Any odd number sum between 3 and 15 is possible. There are six of them.
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To calculate the number of different scores possible if exactly three darts hit the target, we need to consider the scoring system of the target.
Based on the information provided, the target has three scoring zones with scores of 1, 3, and 5. Let's assume that the scoring zones are distinct and do not overlap.
To find the number of different scores possible, we need to determine the combinations of scores that can be achieved with three darts.
We can approach this problem by considering all possible combinations of scores that can be obtained by choosing three scores from the available scoring zones.
Using combinatorics, we can calculate the number of combinations as follows:
Number of combinations = nCr (n, r)
Where n is the total number of scoring zones (3 in this case) and r is the number of darts (3 in this case). Applying this formula, we get:
Number of combinations = 3C3 = 3! / (3!(3-3)!) = 3! / (3! * 0!) = 1
Therefore, there is only one possible score if exactly three darts hit the target.