Permutations and Combinations
Mathematics Solutions from Chapter -1 - Permutations and Combinations
In this chapter, we will learn the mathematical concepts related to the fundamental principle of counting of permutation and combinations. Derivation of related formulas are also given here.
Practice Other Topics from Permutations and Combinations
In this topic, we will understand the concept of permutations and combinations. It highlights various solved examples to explain the difference between them. We will explore the factorial notation of combination here.
The concept of fundamental principle of counting is defined in this topic. This rule is used to determine the number of possible outcomes in a situation. It is further explained with the help of numerous examples.
This topic covers permutations and the derivation of a formula for permutations. Some theorems are discussed for permutations resulting from distinct as well as non-distinct objects.
This topic discusses the condition when repetition is not allowed. It highlights the formula used to calculate the permutations of n different objects. It also covers the concept of same objects via solved examples along with the formula.
In this topic, we will understand the concept of circular permutations in detail. We will discuss the number of ways arranging n objects around a round table. It also covers various solved examples to explain the condition when no restriction is imposed.
The topic discusses combinations and its relationship with permutations. It also derives formulas and theorems for combinations. Some examples and exercises will also be solved here for better understanding.
In this topic, we will come across the practical problems based on the concept of combination. We will study the distribution of n identical objects into groups. It also briefs on the condition when there are n same or different objects.
