Tanya and Mona are in the Big Beast Booth at the County Fair. Tanya buys a ticket that gives her three throws with a beanbag at the beasts. There are four beasts, each with a different number on them, 1, 2, 3, or 4. Each time she hits a beast Tanya earns the number of points on that beast. After three throws the points are added up and she gets a “Big Beast” for earning 4 points. How many different ways could Tanya score 4 points?
PLZ HELP ME!!!
After all the time you've spent posting this problem, don't you have any ideas? There just aren't that many ways to add at most three numbers to get 4:
1+1+2
1+2+1
2+1+1
...
Consider that she might have missed one or two throws.
Well thanks I just wanted to make sure I was on the right path so I got 12 different ways. Hopefully Its right.
To find out how many different ways Tanya can score 4 points, we can consider all possible combinations of hits on the beasts.
Since Tanya has three throws and the beasts have different numbers on them, we need to find all possible combinations of three numbers (representing the hits) that sum up to 4.
Let's list all the combinations:
1. 1 + 1 + 2 = 4
2. 1 + 2 + 1 = 4
3. 1 + 3 + 0 = 4
4. 1 + 0 + 3 = 4
5. 2 + 1 + 1 = 4
6. 2 + 2 + 0 = 4
7. 2 + 0 + 2 = 4
8. 3 + 1 + 0 = 4
9. 3 + 0 + 1 = 4
10. 0 + 2 + 2 = 4
11. 0 + 3 + 1 = 4
12. 0 + 1 + 3 = 4
So, there are 12 different ways Tanya can score 4 points.
To obtain this result, we considered all possible combinations by systematically testing all the numbers from 0 to 3 for each throw, making sure the sum of the three throws adds up to 4.