You inspired me
You are given 45 letters above with which you can write my friend's name SHIVANSHI.
Suppose that, each time you go down one row, you have 2 choices: go diagonally one to the left, or go diagonally one to the right.
Then, how many ways are there to spell out SHIVANSHI?
The answer is 256.
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1 solution
Start with the first letter. There are two choices to go down to the next letter. Suppose you take the H on the right. Still, below that, there are only two choices. There are 9 letters in SHIVANSHI, so we must exclude the first S because we must use it at first, so 2 8 = 2 5 6 .