remnant vs tail end

remnant

noun
  • The small portion remaining of a larger thing or group. 

  • The remaining fabric at the end of the bolt. 

  • An unsold end of piece goods, as cloth, ribbons, carpets, etc. 

tail end

noun
  • The hindmost part of anything (a person, animal, or object), the rear end; the butt, buttocks; hindquarters, rump. 

  • The last part of a period of time, event, or situation; the concluding or final part. 

How often have the words remnant and tail end occurred in a corpus of books? (source: Google Ngram Viewer )