Tuesday
May 26, 2015

Homework Help: Math

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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