The Addition Principle

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Lyrics

[Verse 1]
Sarah's choosing her weekend plans tonight
Movies at the theater, seven different shows
Or the concert hall with five bands taking flight
When choices don't collide, here's how the math goes

[Pre-Chorus]
Mutually exclusive means they cannot meet
No overlap between the paths you take

[Chorus]
Add them up, add them up
When the tasks don't intersect
M plus N, count again
Addition Principle direct
Seven films or five concerts
Twelve total ways to spend your night
Add them up, add them up
When the choices don't unite

[Verse 2]
Tom's delivery route splits at the bridge
Eastern district has four possible streets
Western zone gives him six paths on the ridge
Can't be both places, so the counting's neat

[Pre-Chorus]
Mutually exclusive means they cannot meet
No overlap between the paths you take

[Chorus]
Add them up, add them up
When the tasks don't intersect
M plus N, count again
Addition Principle direct
Four east routes or six west roads
Ten total ways to make his rounds
Add them up, add them up
When exclusion can be found

[Bridge]
No crossover, no shared ground
Separate buckets, count each mound
If task A gives you M ways
Task B gives N on different days
Simple addition solves the maze

[Verse 3]
College applications, picking your degree
Engineering program offers twelve majors
Liberal arts presents you with twenty-three
Different schools means clean calculation favors

[Final Chorus]
Add them up, add them up
When the tasks don't intersect
M plus N, count again
Addition Principle direct
Twelve plus twenty-three makes sense
Thirty-five paths for your mind
Add them up, add them up
Mutual exclusion defined

[Outro]
When choices stand apart and never blend
Addition Principle helps counting end

← Beyond ℂ (Brief Encounter) | The Multiplication Principle →