JEE Mains · Maths · STD 12 - 1. relation and function
Let \(A = \{2, 3, 4, 5, 6\}\). Let R be a relation on the set \(A \times A\) given by \((x, y) R (z, w)\) if and only if \(x\) divides \(z\) and \(y \leq w\). Then the number of elements in R is _______.
- A 110
- B 120
- C 130
- D 140
Answer & Solution
Correct Answer
(B) 120
Step-by-step Solution
Detailed explanation
Given the set \(A = \{2, 3, 4, 5, 6\}\). The relation \(R\) is defined on \(A \times A\) such that \((x, y) R (z, w)\) if and only if \(x\) divides \(z\) and \(y \leq w\). The number of elements in \(R\) is the number of ordered pairs \(((x, y), (z, w))\) satisfying these…
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