Reading TONYALI

Difficulty: Medium · Topics: Discrete Mathematics, Combinations, Paths

Starting at the T at the top and moving each time to a neighbouring letter in the next row, the word TONYALI is read down to the I at the bottom.

beginarrayccccccc & & & T & & & \\ & & O & & O & & \\ & N & & N & & N & \\ Y & & Y & & Y & & Y \\ & A & & A & & A & \\ & & L & & L & & \\ & & & I & & & endarray

In how many different ways can the word be read?