The above-mentioned manner of ablution has been narrated by Sayyiduna Abdullah bin Zaid (may Allah be pleased with him) from the Noble Prophet (peace and blessings be upon him).
From this hadith, it is understood that if, while performing ablution (wudu), some limbs are washed three times and some limbs are washed two times, even then the ablution is valid, and there is no harm in it.