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Two electrons in the same atom have n = 3 and ℓ = 1. (Assume for...

Two electrons in the same atom have n = 3 and ℓ = 1. (Assume for the purposes of this problem that the electrons are distinguishable.)

(a) How many allowed states are there for the possible states of the atom? (Assume for this problem that the electrons are distinguishable (in other words, that they can be told apart), but that the exclusion principle still applies to the atom.)

(b) How many states would be possible if the exclusion principle did not apply to the atom? (The electrons remain distinguishable for this problem.)

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