Unizor Combinatorics Partial Permutations

Summary

Given a set of N objects. Our task is to form a group of K objects out of this set (K ≤ N, of course) putting the chosen objects in ... Don't try to recall any formula. Instead, use the logic and count available choices. Problem 1 Using the logic of Discrete Mathematics, Episode VI: Counting Key Topic: In this lecture we will consider a case when two or more objects in the set are indistinguishable from each other. As a simplest ... Title: Cycle-trail decomposition for What if the initial set of objects is not diminishing with each new pick but remains exactly as it was before? For instance, we are ... Problem 1 How many different sequences of letters can be constructed from all the letters of the name of a game "tic-tac-toe" ... Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ... Title: Descents on noncrossing and nonnesting In this video we will take a look at developing the concept of The problems of this series are just easy exercises on invariant transformations of algebraic expressions that involve factorials.