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As a followup, this would be equivalent to someone giving you an alphabet with n characters and then they say, hey I am going to construct a word out of those characters with length m. Think about how long it would take you to get > 60% of the characters in the right spots.
Say the alphabet was {a,b,c,d} and they are going to construct a 20 letter word using just those characters. It'd be pretty difficult to get 60% correct at random.
Iteratively, you'd have:
aaaaaaaaaaaaaaaaaaaa
baaaaaaaaaaaaaaaaaaa
caaaaaaaaaaaaaaaaaaa
daaaaaaaaaaaaaaaaaaa
abaaaaaaaaaaaaaaaaaa
acaaaaaaaaaaaaaaaaaa
.....
dddddddddddddddddddd
A shitload! ;)
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