Question

Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c...

Consider permutations of the 26-character lowercase alphabet

Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.

  1. In how many of these permutations do a,b,c occur consecutively and in that order?
  2. In how many of these permutations does a appear before b and b appear before c?

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