Perms and Combs

[shrewd kiln]

Help with this question, not sure how to justify the answer (which is E: 14)

[blissful turret]

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[rapid stump]

start with just two brackets

()

nvm this solution has gross overlap

uhh tree diagram

()
()() or (())
etc.

[shrewd kiln]

ok i see

is there no way of doing it with factorials

[rapid stump]

I dont see how to reduce the gross overlap you’d get

oh there’s probably a solution with binary and stuff

so like start with 0

which is open

1 is close

you want a combination where the first nth numbers have more 0s than 1s

starts with 0 ends with 1

[shrewd kiln]

ok

im gonna try them both

[sweet bronze]

simple solution with catalan numbers

[rapid stump]

what are those