Step-by-step explanation:
For any given value of n, the number of d orbitals is 2(n - 1), and the number of f orbitals is 2( n - 2)².
So, for n = 4, we can calculate the number of d and f orbitals as follows:
Number of d orbitals = 2(n - 1) = 2(4 - 1) = 6
Number of f orbitals = 2(n - 2)² = 2(4 - 2)² = 2(2²) = 8
Therefore, the total number of d and f orbitals present in the n = 4 shell of an atom is 6 + 8 = 14.