If you are taking mathematics courses related to combinatorics or probability, I found a page from UCLA containing hundreds of video lectures on the said subjects. It is a collection of lectures from 1993 up to the present and includes lectures from famous mathematicians such as Terence Tao. For more free video lectures, visit the All for […]

Continue reading…

# Combinatorics

## Counting the Number of Subsets in a Set

Problem: How many groups can be formed from 5 persons? First, we represent the persons by small letters a, b, c, d, and e, and we denote a group whose members are c and d as {c, d}. We can have a group with 2 members, 3 members, 4 members, and 5 members. The members […]

Continue reading…

## Understanding the Multiplication Principle

Amanda went shopping and bought three blouses (red, yellow, violet) and 2 skirts (blue, green) as treat for herself for her birthday. The first thing she did when she got home was tried on the skirts and blouses. Question: In how many ways can she wear them? This problem can be easily answered by pairing […]

Continue reading…