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Let S = {1, 2, 3, 4, 5, 6} and X be the set of all relations R from S to S that satisfy both the following properties :
i. R has exactly 6 elements.
ii. For each (a, b) ∈ R, we have |a - b| ≥ 2.
Let Y = {R ∈ X : The range of R has exactly one element} and
Z = {R ∈ X : R is a function from S to S}.
Let n(A) denote the number of elements in a set A.
i. R has exactly 6 elements.
ii. For each (a, b) ∈ R, we have |a - b| ≥ 2.
Let Y = {R ∈ X : The range of R has exactly one element} and
Z = {R ∈ X : R is a function from S to S}.
Let n(A) denote the number of elements in a set A.
Question: 1
If n(X) = mC6, then the value of m is _______.
If n(X) = mC6, then the value of m is _______.
Updated On: Jun 20, 2024
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Correct Answer: 20
Solution and Explanation
The correct answer is: 20.
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Question: 2
If the value of n(Y) + n(Z) is k2, then |k| is _______.
If the value of n(Y) + n(Z) is k2, then |k| is _______.
Updated On: Jun 20, 2024
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Correct Answer: 36
Solution and Explanation
The correct answer is: 36.
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