In how many ways can you read OSLO in the diagram, using adjacent letters (vertically, horizontally, or diagonally)?
Any O can be the first and the last letter of the same OSLO.



Click here for a printer version




Solution to the Problem:


There are 108 ways to read the word OSLO.

In the diagram, Os appear in the center, at the corners, and on the sides.

When the first O is at the center:
The O touches 4 Ss, each of which touch 3 Ls, which each touch 3 Os, yielding 4 x 3 x 3 = 36 words.

For the Os at the corners:
Since there is no O that is adjacent to an S, no OSLOs can be formed.

For the Os on the sides:
Each of the 8 Os touches 1 S that touches 3 Ls, each of which touch 3 Os, yielding 8 x 3 x 3 = 72 words.

In all, there are 36 + 72 = 108 words.



Correctly solved by:

1. Colin (Yowie) Bowey Beechworth, Victoria, Australia
2. Ritwik Chaudhuri Santiniketan, West Bengal, India
3. Ivy Joseph Pune, Maharashtra, India
4. Kelly Stubblefield Mobile, Alabama