Posted by **Jeff** on Sunday, January 9, 2011 at 6:18pm.

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

My Answer:

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.

- Math -
**Damon**, Sunday, January 9, 2011 at 6:49pm
2*3*4*3*2*1*2

I get 288

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