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Choose the correct alternative: The number of relations on a set containing 3 elements is

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प्रश्न

Choose the correct alternative:

The number of relations on a set containing 3 elements is

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उत्तर

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets, Relations and Functions - Exercise 1.5 [पृष्ठ ४७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 1 Sets, Relations and Functions
Exercise 1.5 | Q 12 | पृष्ठ ४७

संबंधित प्रश्‍न

Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.


Let A = [1, 2] and B = [3, 4]. Find the total number of relation from A into B.

 

Determine the domain and range of the relation R defined by

(ii) R = {(x, x3) : x is a prime number less than 10}

 

Let A = [1, 2, 3], B = [1, 3, 5]. If relation R from A to B is given by = {(1, 3), (2, 5), (3, 3)}, Then R−1 is


A relation R is defined from [2, 3, 4, 5] to [3, 6, 7, 10] by : x R y ⇔ x is relatively prime to y. Then, domain of R is


If R is a relation from a finite set A having m elements of a finite set B having n elements, then the number of relations from A to B is


If A = {a, b, c}, B = {x, y}, find A × B, B × A, A × A, B × B


Let A = {1, 2, 3, 7} and B = {3, 0, –1, 7}, the following is relation from A to B?

R2 = {(–1, 1)}


Let A = {9, 10, 11, 12, 13, 14, 15, 16, 17} and let f : A → N be defined by f(n) = the highest prime factor of n ∈ A. Write f as a set of ordered pairs and find the range of f


Let X = {a, b, c, d} and R = {(a, a), (b, b), (a, c)}. Write down the minimum number of ordered pairs to be included to R to make it symmetric


In the set Z of integers, define mRn if m − n is divisible by 7. Prove that R is an equivalence relation


Choose the correct alternative:

The rule f(x) = x2 is a bijection if the domain and the co-domain are given by


If R3 = {(x, x) | x is a real number} is a relation. Then find domain and range of R3.


Is the given relation a function? Give reasons for your answer.

t = {(x, 3) | x is a real number


Let f: R `rightarrow` R be defined by f(x) = `x/(1 + x^2), x ∈ R`. Then the range of f is ______.


Which statement defines a relation from set \(A\) to set \(B\)?


Which statement violates the condition for a function?


When are two ordered pairs \((a,b)\) and \((c,d)\) equal?


For a relation \(R\), the range is the set of all:


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