Secondary school › Counting and probability

Counting and probability: problems with solutions

49 groups of practice problems: counting principles, permutations, combinations, the binomial theorem and probability. Every problem has a step-by-step solution.

The problems are useful for the State Matura, for the external exam and for university entrance exams.

Topic	What you practise	Problems
Counting principles	Addition and multiplication principle, numbers from digits and factorial.	4
Permutations	Permutations of n and of r elements, grouped and identical elements, paths on a grid, circular permutations.	10
Combinations	Choosing groups, at least and at most, geometry, subsets and positive or non-negative solutions.	10
The binomial theorem	Expanding binomials, a given term, the constant term and binomial identities.	7
Probability	Sample space and events, classical and geometric probability, the addition rule and the complement.	9
Conditional and binomial probability	Conditional probability, the multiplication rule, independent events and binomial probability.	9