Darts Score Combinations

Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a target. Each day, he hit a different combination of fields. How many days could he throw like this?

Final Answer:

d =  5

Step-by-step explanation:

$$\begin{gathered} x_1=5+5+5+5+3+1+1+1+1=27 \\ {x}_2=5+5+5+3+3+3+1+1+1=27 \\ {x}_3=5+5+3+3+3+3+3+1+1=27 \\ {x}_4=5+3+3+3+3+3+3+3+1=27 \\ {x}_5=3+3+3+3+3+3+3+3+3=27 \\ d=5 \end{gathered}$$

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