7 . Let Ink denote the number of ways to divide n people into k groups , with You at least two people in each group . For example , the list ( 2.97 ) shows that 3 . Set roo ( a ) Use a combinatorial argument to show that Ink satisfies the recus rence relation Pink = Kin - 1 6 + ( 12 - 1 ) In - 2 1 - 1 for n > 1 ( b ) Define In for n 2 0 by In LK Ink . Compute the table of values of rack and in for O