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 a**maximum** 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#.

*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#.