The positive integer 4 can be represented as a sum of 1's or 2's in
five ways, such as 1 + 2 + 1 and 1 + 1 + 2. Show all the ways that
the positive integer 5 can be represented as a sum of 1's or 2's.
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im confused on how to go about the problem. that's y i need help on how to start.
To find all the ways that the positive integer 5 can be represented as a sum of 1's or 2's, we can use a recursive approach.
Starting with the maximum number of 2's that can be used, which is 2, we can find the remaining sum needed and repeat the process until the desired sum is reached. Here are all the possible combinations:
1. 2 + 2 + 1 = 5
2. 2 + 1 + 2 = 5
3. 1 + 2 + 2 = 5
4. 1 + 1 + 1 + 2 = 5
5. 1 + 1 + 2 + 1 = 5
6. 1 + 2 + 1 + 1 = 5
So, there are 6 ways to represent the positive integer 5 as a sum of 1's or 2's.