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What are the 2 methods of writing or representing a set?
You either list the elements, or you specify a rule fulfilled by all elements of the set (and only by them).
What are two ways of defining a set?
(1) List the elements, and (2) Define a rule that elements of the set must fulfill.
How can you get the number of subsets?
Let's say the set S has n elements. An element can be either in the subset or not in the subset. So There are two ways for one element. Therefore the number of subsets of a set of n elements is 2 multiplied n times which is 2^n
How many the number of surjections that can be defined from setA with n elements to a set B with 2 elements?
2x2^(n-2)
What are examples of subsets?
For example, if you take the set A = {1, 2}, then the following sets are all subsets of it: {}, {1}, {2}, {1, 2}. That is, all the sets that fulfill the condition that all of its elements are also elements of the set "A".
What are the 2 methods of writing or representing a set?
You either list the elements, or you specify a rule fulfilled by all elements of the set (and only by them).
What are two ways of defining a set?
(1) List the elements, and (2) Define a rule that elements of the set must fulfill.
How can you get the number of subsets?
Let's say the set S has n elements. An element can be either in the subset or not in the subset. So There are two ways for one element. Therefore the number of subsets of a set of n elements is 2 multiplied n times which is 2^n
What are the different subsets in a set?
They are collections of some, or all, of the elements of the set. A set with n elements will have 2^n subsets.
How many subsets have a set with 9 elements?
A set with 9 elements has 2^9 = 512 subsets.
What are the two ways of writing sets?
There are two ways of writing sets:1. Roster Method-listing the elements in any order and enclosing them with braces.Example:A= {January, February, March…December}B={1,3,5…}2. Rule Method-giving a descriptive phrase that will clearly identify the elements ofthe set.Example:C={days of the week}D={odd numbers}1. Roster Method- listing the elements in any order and enclosing them in a bracket.A = {1, 2, 3, 4}2. Rule Method- giving a descriptive phrase that will clearly identify the elements of the set.A = { first four counting numbers}ang mga batayan sa pagsusulat ng historya ay ang mga mananaliksik. at dahil din sa grupong tinatawag na tropapa.The two methods in writing sets are 1.) Listing method and 2.)Roster method.1. listing method i.e A = {1, 2, 3, 4, 5}2. set builder notation i.e B = {x | 1 < x < 10 and 3 | x}
What are the 2 ways of writing numbers?
digital & numerical
How many symmetric relations are there on a set with eight elements?
2^32 because 2^(n*(n+1)/2) is the no of symmetric relation for n elements in a given set
How do you Derive The Number of symetric relation of a Set 's' having n elements?
2^(n^2+n)/2 is the number of symmetric relations on a set of n elements.
What is the difference between nc2 and nc4?
The main difference between nC2 and nC4 is the number of elements being chosen. nC2 represents the number of ways to choose 2 elements from a set of n elements, while nC4 represents the number of ways to choose 4 elements from a set of n elements. In general, nC4 will be a larger number compared to nC2 for the same value of n.
How many subsets can be made from a set with 6 elements?
If a set has six elements, for example {A, B, C, D, E, F}, then it may have the following subsets: - the set itself - 6 sets of five elements - 15 sets of four elements - 20 sets of three elements - 15 sets of two elements - 6 sets of one element - 1 set with no elements (the null set), for a total of 64 sets, which is 2^6, or 2 to the 6th power.
WHAT IS THE Proof that set N has 2 POWER N subset?
Let S be a set which has N elements. Consider in how many ways we can choose a subset. List the N elements of the set S. Let the names of the N elements be, x1, x2, x3, . . . xN For an arbitrary subset, we have two choices for x1. Namely, x1 might or might not be in the subset. We have two choices for x2. Namely, x2 might or might not be in the subset. We have two choices for x3. Namely, x3 might or might not be in the subset. . . . We have two choices for xN. Namely, xN might or might not be in the subset. Now we can easily count the total number of ways to choose a subset. 2 choices for x1 times 2 choices for x2 times . . . = 2 to the Nth power choices of ways to choose a subset. This proves that the number of subsets of a set with N elements is 2 raised to the Nth power. Kermit Rose
