Brain Teasers
Brain Teasers Trivia Mentalrobics Games Community
Personal Links
Submit a Teaser
Your Favorites
Your Watchlist
Browse Teasers
All

Cryptography
Group
Language
Letter-Equations
Logic
Logic-Grid
Math
Mystery
Optical-Illusions
Other
Probability
Rebus
Riddle
Science
Series
Situation
Trick
Trivia

Random
Daily Teasers
Search Teasers

Advanced Search
Add to Google Add to del.icio.us

More ways to get Braingle...

Word Triangles

Math brain teasers require computations to solve.

 

Puzzle ID:#25007
Fun:*** (2.72)
Difficulty:*** (2.54)
Category:Math
Submitted By:phrebh*us****

 

 

 



A word triangle is created by taking a word, putting the first letter on the first line, putting two of the second letter on the next line, three of the third letter on the third line, et cetera. Given the word TEASER, the word triangle would look like this:

T
EE
AAA
SSSS
EEEEE
RRRRRR

If you begin at the top and start spelling TEASER by either moving to the letter directly below the letter you are currently on or by moving to the letter that is immediately to the right of the letter below the letter you are currently on, you could use several different paths to spell the word. For instance, if your path takes you to the third 'A' you could either go to the third 'S' or the fourth 'S', but not to the first or second 'S'.

Can you determine how many possible paths there are for this word triangle? How about for word triangles with words of different lengths?

Open Calculator


Answer

2^5 = 32

For any word of given length, L, the number of paths, P, can be found by P = 2^(L-1).

This is essentially Pascal's Triangle. Usually, these are seen as more of a pyramid shape, but since spacing can't be done consistently, the teaser had to limit the paths to either the letter below the current letter or the letter below and to the right of the current letter.

Hide




What Next?

  
  

See another brain teaser just like this one...

Or, just get a random brain teaser

If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.

 






Back to Top
   



Users in Chat : None 

Online Now: 10 users and 312 guests

Copyright © 1999-2014 | Updates | FAQ | RSS | Widgets | Links | Green | Subscribe | Contact | Privacy | Conditions | Advertise

Custom Search





Sign In A Create a free account