GMAT Permutations & Combinations: A Logic-Based Approach

Counting problems on the GMAT are not about memorizing complex factorial formulas. They are about making a series of logical decisions: Does order matter? Are there constraints? This guide will teach you the 'Slot Method' to solve even the hardest P&C questions intuitively.

Section 1: The Core Distinction

Foundation: Does Order Matter?

The most critical step is the first one. Learn to distinguish between a 'Selection' (Combination) and an 'Arrangement' (Permutation) using our visual Team vs. Photo scenarios.

The Calculation Method: Slots vs. Formulas

Stop using nPr and nCr formulas blindly. Learn the intuitive 'Countdown Method' (Slot Method) to calculate arrangements and selections faster and with fewer errors.

Section 2: Managing Constraints

Selection Rules: Always vs. Never

Real GMAT problems have rules. Learn how to handle scenarios where specific items MUST be chosen or MUST be excluded from the group.

Arrangement Rules: The 'Glue' Method

How do you seat people if two friends refuse to be separated? Learn the 'Glue' technique to treat multiple items as a single unit.

Arrangement Rules: The Subtraction Strategy

Calculating 'Never Together' directly is messy. Learn the powerful shortcut of subtracting the 'Together' cases from the Total to find the answer instantly.

Handling Repetition: Anagrams

What happens when the items aren't unique (like the letters in MISSISSIPPI)? Learn how to adjust your calculation to account for duplicates.

Section 3: GMAT-Specific Strategy

Data Sufficiency: The 'Don't Calculate' Rule

In Data Sufficiency, your goal is not to find the number, but to determine if it CAN be found. Learn to spot the sufficiency without wasting time on massive calculations.

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