# 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?

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,

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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