GRE Advanced Topics: Permutation and Combination, Probability, Statistics, and Data Analysis:

Permutation and Combination

1. Fundamental Counting Principle
2. Permutations: Arranging Objects in Order
3. Combinations: Selecting Objects Without Order
4. Special Cases in Counting (Repetition and Constraints)
5. Factorials and Their Applications in Counting Problems

Probability

1. Basic Probability Rules
2. Independent and Dependent Events
3. Conditional Probability
4. Complementary and Mutually Exclusive Events
5. Expected Value and Applications

Statistics

1. Measures of Central Tendency (Mean, Median, and Mode)
2. Measures of Dispersion (Range, Variance, and Standard Deviation)
3. Interpreting and Comparing Data Sets
4. Normal Distribution and Bell Curve
5. Percentiles and Z-Scores

Data Analysis

1. Interpreting Graphs and Charts
2. Scatterplots and Correlations
3. Trend Analysis in Data Sets
4. Calculating and Understanding Ratios and Proportions
5. Using Data to Solve Real-World Problems

These subtopics provide a comprehensive overview of the advanced concepts tested in the GRE quantitative section. Let me know if you’d like any of them expanded!