Can the 4th Shell hold 32 electrons?

This would mean 2 electrons could fit in the first shell, 8 could fit in the second shell, 18 in the third shell, and 32 in the fourth shell.

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What is the maximum number of electrons in the 4th Shell?

32
Each shell must be full before the next starts to fill. This model breaks down at the n=3 shell because each shell has subshells. There are 4 subshells, s, p, d, and f. Each subshell can hold a different number of electrons.
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n= Shell Maximum Number of Electrons
2 2nd Shell 8
3 3rd Shell 18
4 4th Shell 32