From Sahih Muslim (Hadith 559):
Abdullah b. Zaid b. 'Asim al-Mazini reported:He saw Allah's Messenger (ﷺ) perform the ablution. He rinsed his mouth then cleaned his nose, then washed his face three times, then washed his right hand thrice and then the other one, thrice. He then took fresh water and wiped his head and then washed his feet till he cleaned them
Reference: Muslim 559