Doing 1c with some theories i have in mind (Discrete maths)

[hardy gale]

1b is 13^15 since for 15 columns you have 13 choices that can lead you to B now from 1b, how many paths cross C.

heres what i thought of and the hints given to me

the hint was, to find this, count the numbers of ways to cross C from above, then same thing but from below and then count the number of ways that go to C directly as in horizontally

if we can do 1c now we'll be free, let me tell you what i think,

heres what i think, if we consider the ones from above c,

we have 7 places we could go down from then after we cross c, we are left with 6 places where the line can proceed to the right from since it cant revisit itself,

and for the below one, we have 5 places, and after we have 7 to proceed from,

now for directly i have no idea how id count this because is it just 1?

if you need further explanations let me know.

[last lake]

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[hardy gale]

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