Spencer Target practice

User Generated

punfvgl

Mathematics

Question Description

Spencer had four arrows. He hit the target with all four shots. With each shot he could have scored 25 points, 10 points, 5 points, or 1 point. How many total scores are possible?

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Explanation & Answer

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Each shot can get any of the 4 scores.


If there was only one shot, then number of total scores possible = 4 = 4^1

They are 1, 5, 10 and 25


If there was were 2 shots, then number of total scores possible = 4 + 4 + 4 + 4 = 16 = 4^2

They are 

1 + 1,  1 + 5,  1 + 10,  1 + 25

5 + 1, 5 + 5, 5 + 10, 5 + 25

10 + 1, 10 + 5, 10 + 10, 10 + 25

25 + 1, 25 + 5, 25 + 10, 25 + 25  

  

So, for 4 shots the possible number of total scores = 4^4 =  256


ANSWER:  256 total scores are possible

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fulnzanve3 (279)
Duke University

Anonymous
Just what I was looking for! Super helpful.

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