Module 3:
Counting and combinatorial probability

Module 3

What this module is for

Both; particularly important for discrete interview problems. Use cards, allocations, collisions and permutations, but teach the general method rather than memorised puzzle answers.

Lesson 3.1 · Core

Product and sum principles

Depth: Interview mastery

QT/QR relevance: Both; building combinatorial models

Lesson 3.2 · Core

Permutations and repeated objects

Depth: Interview mastery

QT/QR relevance: Both; sequencing and assignment problems

Lesson 3.3 · Core

Combinations, allocations and stars and bars

Depth: Interview mastery

QT/QR relevance: Both; sampling and occupancy

Lesson 3.4 · Core

Restricted counting and inclusion–exclusion

Depth: Interview mastery; elaborate enumeration is optional

QT/QR relevance: Both; unfamiliar combinatorial constraints

Lesson 3.5 · Core

From counts to probabilities

Depth: Interview mastery

QT/QR relevance: Both; translating counts into valid probabilities

Assessment

Module 3 assessment

Open assessment · No submitted assessment yet