(iii) To select exactly 1 N and 1 A, we choose 1 N and 1 A from the letters TANZANIA. The remaining letters are T, Z, I, and the other A. We need to choose 2 more letters from these 3 letters. This can be done in \(\binom{3}{2} = 3\) ways.

(iv) To select exactly 1 N, we consider different cases based on the number of A's:

1. 0 A's: Select N and 3 other letters from T, Z, I, A. This is 1 way: N, T, Z, I.
2. 2 A's: Select N, 2 A's, and 1 other letter from T, Z, I. This can be done in \(\binom{3}{1} = 3\) ways.
3. 3 A's: Select N and 3 A's. This is 1 way: N, A, A, A.

Adding these, the total number of ways is \(1 + 3 + 1 = 8\) ways.