Posted by **Jeff** on Monday, January 10, 2011 at 12:27pm.

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

Note: the dots are only to center the pattern. They have no meaning. Did I do this correctly? Thanks a lot for your help.

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