If n=3 , l=2 , m=2
n = 3 represents one of the 3d orbital or m = +2 which means two orbital have not same magnetic quantum number.
So, possible orbitals is only 1

$$Hope it's help... $$

**Quantum Numbers and Orbitals:**

In quantum mechanics, the behavior of electrons in an atom is described by a set of four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m), and spin quantum number (s). These quantum numbers determine the energy, shape, orientation, and spin of an electron within an atom.

The principal quantum number (n) describes the energy level or shell in which the electron resides. It can have any positive integer value. The azimuthal quantum number (l) determines the shape or subshell of the orbital and can have values ranging from 0 to (n-1). The magnetic quantum number (m) specifies the orientation or spatial distribution of the orbital and can have values ranging from -l to +l.

**Given Quantum Numbers:**

In the given question, the quantum numbers provided are:
- n = 3 (principal quantum number)
- l = 2 (azimuthal quantum number)
- m = 2 (magnetic quantum number)

**Number of Orbitals:**

The number of orbitals can be determined using the formula:
Number of orbitals = (2l + 1)

Substituting the given value of l (2) into the formula, we get:
Number of orbitals = (2 * 2 + 1) = 5

Therefore, according to this formula, there should be 5 possible orbitals for the given quantum numbers.

**Explanation of the Answer:**

The answer provided in the question is 1, which contradicts the calculation we performed using the formula. It is possible that there might be an error in either the given quantum numbers or the answer provided.

If the quantum numbers are correct, then the answer provided is incorrect. However, if there is an error in the quantum numbers, it is necessary to reevaluate the answer.

In conclusion, based on the calculation using the formula, there should be 5 possible orbitals for the given quantum numbers. It is important to verify the accuracy of the given information and ensure that no mistakes were made in interpreting the question or the answer.