 # 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? Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service. 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 fulnzanve3 (279)
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