I am building a widget with 10 components. Each component can have 1 of 30 colors. 1 of the 10 components has 5 different types. Another one of the 10 components has 15 different types.
Can someone please help me figure out how many possible combinations there are?
Needless to say I’ve googled this and have come up empty with this n! over r! crap…
Maybe I didn’t explain the problem well enough. Let me use a tangible example. I’m creating a build your own guitar with prefabricated parts that effective snap or screw together, so that the average idiot can assemble it. Let’s not argue about whether or not it works. IT’s for an imaginary business plan for school. So I have come up with a guitar that has 10 component pieces.
Of the ten components, 8 of them are only 1 type.
The fretboard has 5 different variations.
The strings come in 15 different sets.
Each component, the 8 individual ones plus the fretboard and the strings can each come in 1 of 30 possible colors.
I am trying to figure out how many possible combinations there are with these choices.