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प्रश्न
Select the correct answer from given alternative
If A = {a, b, c} The total no. of distinct relations in A × A is
पर्याय
3
9
8
29
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उत्तर
If A = {a, b, c} The total no. of distinct relations in A × A is 29
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संबंधित प्रश्न
If A = [1, 2, 3], B = [4, 5, 6], which of the following are relations from A to B? Give reasons in support of your answer.
(i) [(1, 6), (3, 4), (5, 2)]
(ii) [(1, 5), (2, 6), (3, 4), (3, 6)]
(iii) [(4, 2), (4, 3), (5, 1)]
(iv) A × B.
Find the inverse relation R−1 in each of the cases:
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Let A = (x, y, z) and B = (a, b). Find the total number of relations from A into B.
Let R be a relation on N × N defined by
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Let A = [1, 2, 3, 5], B = [4, 6, 9] and R be a relation from A to B defined by R = {(x, y) : x − yis odd}. Write R in roster form.
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| Relation | Reflexive | Symmetric | Transitive |
| R = {(a, b) : a, b ∈ Z, a – b is an integer} | |||
| R = {(a, b) : a, b ∈ N, a + b is even} | √ | √ | x |
| R = {(a, b) : a, b ∈ N, a divides b} | |||
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Answer the following:
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