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I am completely unknown about discrete math subject so how i complete my discrete math syllabus

Basically the discrete mathematics is more logic based math involving sets (which are usually finite). Discrete mathematics is mathematics that deals with discrete objects. Discrete objects are those which are separated from (not connected to/distinct from) each other. Integers (aka whole numbers), rational numbers (ones that can be expressed as the quotient of two integers), automobiles, houses, people etc. are all discrete objects.

There are many books available to study Discrete Maths, you may start your basic study from here

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