Calculate 10! x 3! +5!.From the chapter Permutation
Answers
Step-by-step explanation:
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Step-by-step explanation:
rmutation and combination are the ways to represent a group of objects by selecting them in a set and forming subsets. It defines the various ways to arrange a certain group of data. When we select the data or objects from a certain group, it is said to be permutations, whereas the order in which they are represented is called combination. Both concepts are very important in Mathematics.
Permutation and combination are explained here elaborately, along with the difference between them. We will discuss both the topics here with their formulas, real-life examples and solved questions. Students can also work on Permutation And Combination Worksheet to enhance their knowledge in this area along with getting tricks to solve more questions.
Also, read:
Permutation and Combination Formula
Important Questions Class 11 Maths Chapter 7 Permutations Combinations
What is Permutation?
In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. Permutations occur, in more or less prominent ways, in almost every area of mathematics. They often arise when different orderings on certain finite sets are considered.
What is a Combination?
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used. Permutation and Combination Class 11 is one of the important topics which helps in scoring well in Board Exams.
Formulas
There are many formulas involved in permutation and combination concepts. The two key formulas are:
Permutation Formula
A permutation is the choice of r things from a set of n things without replacement and where the order matters.
nPr = (n!) / (n-r)!
Combination Formula
A combination is the choice of r things from a set of n things without replacement and where order does not matter.
Combination Formula
Difference Between Permutation and Combination
Permutation Combination
Arranging people, digits, numbers, alphabets, letters, and colours Selection of menu, food, clothes, subjects, team.
Picking a team captain, pitcher and shortstop from a group. Picking three team members from a group.
Picking two favourite colours, in order, from a colour brochure. Picking two colours from a colour brochure.
Picking first, second and third place winners. Picking three winners.
Uses of Permutation and Combination
A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn’t matter).