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My little brother loves the video “hunting game” he got for Christmas. He gets 2 points for capturing a snake, 3 points for capturing a wolf, 4 points for capturing a bear, and an extra point if the bear is a grizzly. On his first try, he scored 13 points. In how many different ways could he have reached that score?

Question

My little brother loves the video “hunting game” he got for Christmas. He gets 2 points for capturing a snake, 3 points for capturing a wolf, 4 points for capturing a bear, and an extra point if the bear is a grizzly. On his first try, he scored 13 points. In how many different ways could he have reached that score?

check_circleAnswer
Step 1

We are given that your brother gets 2 points for capturing a snake, 3 points for capturing a wolf, 4 points for capturing a bear and an extra point if the bear is a grizzly. In other words,

capturing a snake
capturing a wolf
capturing a bear
capturing a grizzly bear 5 points
= 2 points
- 3 points
-4 points
help_outline

Image Transcriptionclose

capturing a snake capturing a wolf capturing a bear capturing a grizzly bear 5 points = 2 points - 3 points -4 points

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Step 2

Let x be the number of snakes, y be the number of wolves, z be the number of bear and w be the number of grizzly bears. So, the total points earned is 2x+3y+4z+5w.

i.e.;...

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Math

Probability

Basic Probability

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