Discrete Mathematics Practice

About this grouping

Decide what objects you are counting and whether order matters. Keep the specified modulus and domain with each identity.

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Each Start opens that topic’s available practice. This grouping does not launch a combined session or enroll you in a course.

• Discrete mathematics identities

  Common counting, logic, set, graph, and recurrence identities.

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• Modular residues and cycles

  Remainders and patterns that repeat in predictable cycles.

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• Binary and hexadecimal conversions

  Converting numbers between binary, decimal, and hexadecimal.

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• Small exact combination values

  Finding small exact combination values without listing every case.

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• Combinatorics formulas

  Combination, permutation, and two-stage counting relationships.

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• Basic probability rules

  Recall complements, unions and independent intersections.

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• Expectation and variance formulas

  Expectation, variance, and second-moment relationships.

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• Conditional probability

  Recall probability given that another event has occurred.

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• Binomial probability

  Recall the binomial probability formula and its conditions.

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• Bayes' theorem

  Recall Bayes’ theorem with its stated conditions.

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