- #1
kerrwilk
- 14
- 0
Homework Statement
How many different paths will spell the word BINOMIAL in the following arrangement(moving diagonally downwards to the left or right)?
...B
...I I
..N N N
O O O O
.M M M
...I I
...A
...L L
Homework Equations
The Attempt at a Solution
Starting from B using Pascal's Triangle
...B
..1 1
.1 2 1
1 3 3 1
.4 6 4
.10 10
...20
.20 20
There are 40 different paths. Is this correct? Thanks for your help.
Note: I only put dots to center the pattern. They have no meaning.