Final answer:
By deducting from the statement given about the daughters' hair colors, we can conclude that the woman has three daughters, each with a different hair color: blonde, brunette, and redhead.
Step-by-step explanation:
The statement given by the woman about her daughters can be interpreted as a logic puzzle. She states that all her daughters are blonde except for two, all brunette except for two, and all redheaded except for two. This can be solved by considering that each daughter has only one hair color. Therefore, each non-blond daughter (the 'but two') must belong to one of the other two categories (brunette or redhead), and similarly for the other categories.
Since there are two of each that are not of a specific hair color, we deduce that there must be three daughters in total. One daughter is not blonde or brunette, so she must be a redhead. One is not redhead or brunette, so she must be blonde. And the third is not blonde or redhead, so she must be brunette.
In summary, for each hair color category, the 'but two' refers to the other two daughters with the remaining two different hair colors. Thus, the woman has three daughters, one with each hair color.