Can you help me with this atomic structure problem?

Question

How many orbitals can have the designation 5p, 3dz^2, 4d, n=5, n=4?

Answer 1

If I understand your question properly, then ...

 

5p - there can be 3, i.e. 5p_x, 5p_y and 5p_z

 

3dz² - there can be only 1 

 

4d - there can be 5

 

n = 5 - there can be 25

 

n = 4 = there an be 16