Is it permissible for a father to register the house through a sale and purchase in the names of the three sons, and to register the first floor in the names of the six daughters, knowing that the sons contributed to the construction?

What the father spends to marry off his daughters, in a customary manner, falls under the category of fulfilling needs and is not a gift that requires equality among children. However, if the father wishes to gift the house to his children, the preponderant opinion is the obligation to equalize among all of them, males and females, and it is not permissible to prefer sons over daughters. Whoever builds something in his father's house is entitled to the value of what he built as dismantled. If all adult, mature children agree to gift a portion of the house to the daughters, there is no prohibition in that.