10. (8 points total) For any integers n and k such that 1kn, let Sn denote the set of all permutations of the integers 1 through n and let Tn,k denote the set of all sequences of k integers i1,,ik such that 1i10)24en. Hint: Use the result of part (a) and the inequalities (nk)(ne/k)k and k!(k/e)k