The option that best shows how to rewrite the phrase "the beards of the three men" with a possessive noun is:
A. The three men's beards.
This question is about possessive nouns, also known as genitive case.
The genitivecase is generally formed by the addition of an apostrophe and the letter "s" to a noun. It serves to indicate that that noun owns something.
An example is: My mother's car is the blue one. --> the noun "mother" owns the "car".
When we have a plural noun, the general rule of using the apostrophe and the "s" may change a little.
If the plural noun ends in an "s", we must only add the apostrophe. Examples: boys'; girls'; kids'; cats'.
However, if the plural noun does not end in "s", we must <u>add both the apostrophe and the "s"</u>. Examples: men's; women's; children's.
Having that in mind, we can see the option A is the correct one. "Men" <u>does not end in "s"</u>. Thus, we should write "men's".