Is it permissible for a Muslim to intend to fast in order to make up for missed days of Ramadan, to fast a Sunnah fast on behalf of the Prophet, peace and blessings be upon him, and to fast in the path of Allah during the first ten days of Dhu al-Hijjah?

Whoever has to make up for missed fasts must fast with the intention of making up only. If their make-up fast coincides with virtuous days such as the Ayyam al-Bid (the White Days) or the first ten days of Dhul-Hijjah, they are hoped to receive the reward for fasting those days. However, if one combines the intention of making up with the intention of a supererogatory fast, their fast is not valid.