7 Bites of Combinatorics

7 Bites of Combinatorics free download

Explore the realm of arrangements, permutations and combinations through 7 crisp bites with coding in Python

Combinatorics is a branch of mathematics that opens the door to a fascinating world of counting, arranging, and selecting elements—and it silently powers much of what happens in data science. Whether we are calculating the number of possible user IDs, analyzing feature combinations in a dataset, or designing a machine learning model, combinatorics helps us understand how many ways things can happen.

At its core, combinatorial reasoning sparked the birth of ‘probability’ in the 17th century.

This beginner’s course introduces combinatorics from the basics. It is suitable for both aspiring data analysts or data scientists, as well as experienced machine learning developers who want to deepen their understanding of combinatorics. Each combinatorial technique is executed in Python programming environment also, so that you can perform counting tasks in Python immediately.

By end of this course, you will be able to

• understand counting arrangements and permutations

• grasp the concept of counting combinations

• distinguish between with-replacement cases and without-replacement cases

• understand counting arrangements of digits to form distinct numbers

• arrange and select elements from a multiset

• understand arrangement of elements or people in circular form

• count the possible number of bracelets and necklaces made from certain number of gemstones

• apply inclusion-exclusion principle with the help of Venn-diagram

• explore combinatorics based on set theory

• implement combinatorial logic using Python

Let's dive into amazing world of permutations, combinations. See you inside the course!