Is it recommended to fast ten days of Dhu’l-Hijjah including the day of Eid?

Please could you answer my questions regarding this month of Dhul
Hijjah. On your website you mention how it is recommended to fast on
the day of 'Arafah, but I have read that this is true also of the
first ten days of Dhul Hijjah Is thiscorrect? If it is then can you
confirm if in total there will be 9 not ten fasts as the tenth day is
the Day of Eid.
Praise be to Allaah.
Fasting nine days of Dhu'l-Hijjah is mustahabb. This is indicated by
the words of the Prophet (peace and blessings of Allaah be upon him),
as narrated in the hadeeth of Ibn 'Abbaas (may Allaah be pleased with
him): "There are no days on which righteous deeds are more beloved to
Allaah then these ten days – i.e., ten days of Dhu'l-Hijjah)." They
said: "O Messenger of Allaah, not even jihad for the sake of Allaah?"
He said: "Not even jihad for the sake of Allaah, unless a man goes out
himself with his wealth and does not come back withanything (i.e., he
expends all his wealth and is martyred)." Narrated by al-Bukhaari,969.
And it was narrated fromHunaydah ibn Khaalid from his wife that one
ofthe wives of the Prophet(peace and blessings of Allaah be upon him)
said: "The Messenger of Allaah (peace and blessings of Allaah be upon
him) used to fast nine days of Dhu'l-Hijjah and the day of 'Ashoora'
and three days of each month – the first Mondayand two Thursdays."
Narrated by Imam Ahmad, 21829; Abu Dawood, 2437; classed asda'eef in
Nasab al-Raayah, 2/180, but classed as saheeh by al-Albaani.
With regard to fasting on the day of Eid, this is haraam, as is
indicated by the marfoo' hadeeth of Abu Sa'eed al-Khudri (may Allaah
be pleased with him): "He [the Prophet (peace and blessings of Allaah
be upon him)] forbade fasting on the day of (Eid) al-Fitr and the day
of al-Nahr (the day of sacrifice, i.e., Eid al-Adha)." Narrated by
al-Bukhaari, no. 1992; Muslim, 827. The scholarsare unanimously agreed
that it is haraam to fast on these days.
Righteous deeds on these ten days are betterthan on others. With
regard to fasting, that should only be done on nine of them; the tenth
day is the day of Eid when it is haraam to fast.
Based on this, what is meant by the virtue of the ten days of
Dhu'l-Hijjah is fasting nine days only, even though they are called
ten days.