Question

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.

Answer 1

Sorry, whenever I post, the pattern does not come out right. There should be one "I" diagonally down and to the right and one to the left of B. Same pattern with all the other letters. Thanks