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May 25, 2015

Homework Help: Math

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.

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