We are being asked to determine the **maximum number of electrons** in an atom for each set of quantum numbers given. To solve this problem, let’s first **define and determine the possible values of the four quantum numbers**:

• **principal quantum number (n)**** ****→**** **energy level in orbitals and its value could be **any positive integer **starting from 1 to infinity.

• **angular momentum quantum number (ℓ)**** ****→ ****(l) has to be at least 1 less than n, **range of values from** 0 up to (n-1)**

▪ Each **ℓ value **corresponds to a **subshell**:

What is the maximum number of electrons in an atom that can have the following quantum numbers?

A) n=2 m_{s }= -1/2

B) n=5, l= 3

C) n=4, l=3, m_{l}= -3

D) n=4, l=1, m_{l}=1

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