In how many ways can Bella make the ten entries in her journal?

sunnycui800

New member
Joined
Jan 30, 2017
Messages
2
14. 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 ten entries, how many different ways can she write them in her journal?

从我的 iPhone 发送,使用 Tapatalk
 
Last edited by a moderator:
Sometimes it's helpful to start with an easier problem and work your way up, to see if you can find a pattern. Let's assume Bella picks just one page. It can either have one journal entry or two journal entries. So, there are only two arrangements. Now let's assume Bella instead picks two pages. Each of them can have one entry or two entries. If the first page has one entry, then the second page can have one or two entries. Similarly, if the first page has two entries, the second page can have one or two entries. How many total arrangements are there then? How did you figure out that answer? If Bella picks 3 pages, how many arrangements do you expect there to be? Maybe make a list of all the possible arrangements. Does it match your prediction? Are you starting to see a pattern? What does that suggest about the number of arrangements if Bella picks 10 pages?

If you get stuck again, that's okay, but when you reply back, please include any and all work you've done on this problem, even the parts you know are wrong. Thank you.
 
Top