How many possible orbitals are there for n = 4 ?

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Explanation: 

In order to figure out the number of orbitals use the formula n2 = number of the orbitals , so if n = 4

n2 = 42 = 16

so there are 16 possible orbitals as follows

4s , 4px,4py,4pz, 4d,4d,4d,4d,4d,4f,4f,4f,4f,4f,4f,4f

Answer: 

16