Performing Tayammum on carpets

Q: I live in a house where there is no dust, and sometimes there is no one to bring me dust. Is it permissible to perform Tayammum (dry ablution with clean earth) using the carpet?

A: All praise be to Allah Alone, and peace and blessings be upon His Messenger, and his family and Companions. You must perform Tayammum with clean dust if there is no water or if it is difficult to use, as Allah (Exalted be He) says (what means), ...then perform Tayammum with clean earth and rub therewith your faces and hands. (Part No. 5; Page No. 352) In case you cannot find dust, it will be sufficient for you to perform Tayammum to strike the clean earth, however it be, even if it has no dust on it, as Allah (Exalted be He) says, So keep your duty to Allâh and fear Him as much as you can May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.