Suppose that a certain atom possesses only four distinct energy levels. Assuming that all transitions between levels are possible, how many spectral lines will this atom exhibit? 
Definitions:
Valence
In psychology and motivational theory, the degree of attractiveness or aversiveness an outcome holds for a person, influencing their motivation levels.
Valence
The value or importance an individual places on the expected outcome of a particular behavior or action.
Expectancy
The belief or anticipation regarding the outcome of one's efforts, which can significantly influence motivation and behavior.
Publicly
Pertains to anything done or existing in open view, accessible to all members of the community or targeted audience, often under public scrutiny.
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