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

There are 40 different paths. Is this correct? Thanks for your help.

Answer 1

2*3*4*3*2*1*2
I get 288