How does the legal status of rinsing the mouth (Madmadah) and nose (Istinshaq) differ between Wudu and Ghusl?

Obligatory Bath (الغسل): Obligations

• They are Sunnah in both Wudu and Ghusl.
• They are Fard in both Wudu and Ghusl.
• They are Sunnah in Wudu, but strictly Fard (obligatory) in Ghusl.
• Rinsing the nose is Fard, but rinsing the mouth is optional.