According to the gospel of Matthew, was Jesus born in a house or a manger?

In a house

Now when Jesus was born in Bethlehem of Judaea in the days of Herod the king, behold, there came wise men from the east to Jerusalem, Saying, Where is he that is born King of the Jews? for we have seen his star in the east, and are come to worship him. ...

And when they were come into the house, they saw the young child with Mary his mother, and fell down, and worshipped him.Matthew 2:1-11