Consider an Einstein solid composed of N particles with total energy E. The general expression for the number of microstates of this system is (E+N 1)! (4.3) E! (N 1)! (a) Verify that (4.3) yields the correct answers for N = 3 and E = 3. (b) What is the number of microstates for an Einstein solid with N = 4 and E = 6? (c) Suppose that N = 3 and E = 3 and the particles are labeled red, white, and blue. What is the probability that the red particle has energy equal to one? (d) Given that the red particle has energy 1, what is the probability that the blue particle has energy 2?