Question

Bella is planning to write in a journal. Some pages will have one journal entry on them, and other pages will have two journal entries on them. If Bella

wants to make 10 entries, how many different ways can she write them in her journal?

I've already seen an answer someone did by diagramming each of the actual coins, but is there an equation I can use, not just for this problem, but also other problems of this type? Thanks!

Answer 1

1 page with 10. 2 pages with five entries each. 5 pages with 2 each. There are many more way such as 3 pages 2 with three entries and one with 1 entry. 4 pages with 2 entries and 1 with 4

Answer 2

Bella can write her journal in 6 different ways.

Explanation:

Bella will make 10 journal entries, the possibilities are:

1. 5 pages: 5 pages with 2 journal entries per page
2. 6 pages: 4 pages with 2 journal entries per page and 2 pages with 1 journal entry each
3. 7 pages: 3 pages with 2 journal entries per page and 4 pages with 1 journal entry each
4. 8 pages: 2 pages with 2 journal entries per page and 6 pages with 1 journal entry each
5. 9 pages: 1 page with 2 journal entries and 8 pages with 1 journal entry each
6. 10 pages: 10 pages with one journal entry per page