Advertisements
Advertisements
Question
Multiple Choice Question :
Let n(A) = m and n(B) = n then the total number of non-empty relation that can be defined from A to B is ________.
Options
mn
nm
2mn – 1
2mn
Advertisements
Solution
Let n(A) = m and n(B) = n then the total number of non-empty relation that can be defined from A to B is 2mn – 1.
APPEARS IN
RELATED QUESTIONS
Let R be a relation from N to N defined by R = {(a, b) : a, b ∈ N and a = b2}. Is the statement true?
(a, b) ∈ R implies (b, a) ∈ R
Justify your answer in case.
If R = {(x, y) : x, y ∈ Z, x2 + y2 ≤ 4} is a relation defined on the set Z of integers, then write domain of R.
Answer the following:
Find R : A → A when A = {1, 2, 3, 4} such that R = (a, b)/a − b = 10}
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
Is the following relation a function? Justify your answer
R2 = {(x, |x |) | x is a real number}
Is the given relation a function? Give reasons for your answer.
s = {(n, n2) | n is a positive integer}
Which statement defines a relation from set \(A\) to set \(B\)?
When are two ordered pairs \((a,b)\) and \((c,d)\) equal?
For two non-empty sets \(A\) and \(B\), which expression gives their Cartesian product?
For \(R=\{(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)\}\), what is the domain?
