You might wish to consider these in terms of entropy, which is typically given in bits:
Diceware, 6 words 77 bits
Diceware, 5 words 64 bits
Diceware, 4 words 51 bits
a-zA-Z0-9, symbols, 10 65 bits
a-zA-Z0-9, 10char 59 bits
a-zA-Z0-9, 8char 50 bits
For any remote site, I recommend using 22 characters from [a-zA-Z0-9]; this is 128 bits, and is easily copy-pasteable.
It's highly amusing when a site tells me that such a password is insufficiently complex, given that it will never in the lifetime of the universe be guessed.