Could I say like this:
A boss could order his subordinate in either authority and serious way or polite and friendly way or even joking and intimate way.
By the way, should I insert an "a" before three kind ways?
authority is a noun, not an adjective. You should use the adjective "authoritative" instead.
each "X and Y way" should be preceded by "a", as you suspected in your question.
A boss could order his subordinate in either an authoritative and serious way or a polite and friendly way or even a joking and intimate way.
When making a list of three or more things, it's typical to use commas and only a final preposition.
A boss could order his subordinate in either an authoritative and serious way, a polite and friendly way, or even a joking and intimate way.
However, be sure to note that:
- it's not clear to me that this rule really improves readability in this case; it may be more readable (but less formal) using "... or ... or ..."
- "either" is typically used with only two options, though it may be informally used with more
this sentence is quite long and has a lot of many conjunctions. It's grammatically correct, but you could make it easier to read by...
using only one adjective per phrase
A boss could order his subordinate in an authoritative way, a polite way, or even a joking and intimate way.
setting the last phrase apart with an em dash (informally written on computers as a double-dash)
A boss could order his subordinate in either an authoritative and serious way or a polite and friendly way -- or even in a joking and intimate way.
using "either in ... or in ..." to help mark the start of a new phrase
A boss could order his subordinate either in an authoritative and serious way, in a polite and friendly way, or even in a joking and intimate way.
