Please help me solve these two problems. To be honest, I would really appreciate something more than just a small hint, because I have really no idea how to go about solving it ;(
1. Consider all possible sequences of natural numbers whose sum is . Each sequence has a certain number of terms. How many terms appear in all those sequences.?
2. Consider all possible sequences of natural numbers whose sum is . Find the number , which represents the number of times a certain natural number appears in such sequences.