Check your answers in Exercise 1 by using Equation (2.7) or Theorem 2.3.

\[P^{R}(2, 5) = 2^5 = 32\]

\[P^{R}(3, 2) = 3^2 = 9\]

\[C^{R}(2, 5) = C(6, 5) = \binom{6}{5} = 6\]

\[C^{R}(3, 2) = C(4, 2) = \binom{4}{2} = 6\]