Since the question is a little ambiguous, I will certainly assume the you\"re dealing with three distinctive sets that quantum numbers.

In addition to this, i will additionally assume that you\"re reasonably familiar v quantum numbers, so i won\"t enter too lot details about what every represents. #1^\"st\"# set # -> n=2#

The principal quantum number, #n#, speak you the energy level on which an electron resides. In bespeak to have the ability to determine how numerous electrons can share this value of #n#, you should determine specifically how plenty of orbitals you have actually in this power level.

The number of orbitals you gain per power level deserve to be uncovered using the equation

#color(blue)(\"no. That orbitals\" = n^2)#

Since each orbital can hold amaximum of 2 electrons, it adheres to that as many as

#color(blue)(\"no. The electrons\" = 2n^2)#

In this case, the 2nd energy level holds a total of

#\"no. The orbitals\" = n^2 = 2^2 = 4#

orbitals. Therefore, a maximum of

#\"no. That electrons\" = 2 * 4 = 8#

electrons have the right to share the quantum number #n=2#.

#2^\"nd\"# set #-> n=4, l=3#

This time, friend are offered both the energy level, #n=4#, and the subshell, #l=3#, on i m sorry the electrons reside.

Now, the subshell is offered by the angular momentum quantum number, #l#, which can take values ranging from #0# come #n-1#.

#l=0 -># the s-subshell#l=1 -># the p-subshell#l=2 -># the d-subshell#l=3 -># the f-subshell

Now, the variety of orbitals you gain per subshell is provided by the magnetic quantum number, #m_l#, i m sorry in this instance can be

#m_l = -l, ..., -1, 0, 1, ..., +l#

#m_l = -3; -2; -1; 0; 1; 2; 3#

So, the f-subshell can hold total of seven orbitals, which means that you have a maximum of

#\"no. Of electrons\" = 2 * 7 = 14#

electrons that can share these two quantum numbers, #n=4# and #l=3#.

#3^\"rd\"# set #-> n=6, l=2, m_l = -1#

This time, friend are provided the power level, #n=6#, the subshell, #l=2#, and also the exact orbital, #m_l = 1#, in which the electrons reside.

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Since you understand the specific orbital, it adheres to that just two electrons deserve to share these 3 quantum numbers, one having actually spin-up, #m_s = +1/2#, and also the other having actually spin-down, #m_s = -1/2#.