1.Suppose that we choose n = 9 and k = 4. Does there exist a bijection from P({1, 2, . . . , n − k}) to {0, 1, 2, . . . , n}? Why or why no 2. Suppose that we choose n = 31. For what value(s) of k...

1.Suppose that we choose n = 9 and k = 4. Does there exist a bijection from P({1, 2, . . . , n − k}) to {0, 1, 2, . . . , n}? Why or why no

2. Suppose that we choose n = 31. For what value(s) of k does there exist a bijection from P({1, 2, . . . , n − k}) to {0, 1, 2, . . . , n}? Prove your answer