What is Discrete Math (in layman's terms)?

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wlcgeek
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Wikipedia says it deals with distinct objects and is differentiated from continuous math, which has objects that "vary smoothly."

For a layman, can someone explain what this means?

And is all math discrete or continuous? No other options?
 
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Quote: "And is all math discrete or continuous? No other options?"

What other options did you have in mind?
 
Discrete mathematics deals with values or concepts which have countable results. Key word being countable (meaning discrete).

Calculus is a mathematics which deals with continuous ideas such as limits and infinity.