# Combinatorics, probability and statistics

The topic is divided into the following subtopics:
• Combinatorics
• Probability
• Statistics

### Combinatorics

Part I:
• Combinatorial product rule and sum rule
• Arrangements without repetition / k-permutations without repetition
• Arrangements with repetition / k-permutations with repetition
• Permutations without repetition
• Permutations with repetition
• Selections without repetition / k-combinations without repetition
Part II:
• Simplifying expressions with factorials and binomial coefficients
• Combinatorial equations
Part III:
• Selections with repetition/ k-combinations with repetition
• Combinatorial inequalities
• Binomial theorem

### Probability

Part I:
• Classical probability definition
Part II:
• Geometrical probability
• Probability of complementary event
• Probability of union of events
• Probability of intersection of independent events
Part III:
• Binomial distribution (Bernoulli scheme)
• Conditional probability

### Statistics

Part I:
• Measures of location (mean, median, mode)
• Arithmetic, geometric and harmonic mean
Part II:
• Measures of variability (variance, standard deviation, coefficient of variation)
Part III:
• Summary statistics
• Correlation coefficient