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Question:
Then the number of elements in the set {(n, m) : n, m ∈ { 1, 2….., 10} and nAn + mBm = I} is _______.
Then the number of elements in the set {(n, m) : n, m ∈ { 1, 2….., 10} and nAn + mBm = I} is _______.
Updated On: Jul 24, 2024
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Correct Answer: 1
Solution and Explanation
The correct answer is : 1
A2 = A and B2 = BR
nA + mB = I,
So, 2n – m = 1, –n + m = 0, 2m – n = 1
So, (m, n) = (1, 1)
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Sets are of various types depending on their features. They are as follows:
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- Finite Set - A set that has a finite number of elements in it.
- Infinite Set - A set that has an infinite number of elements in it.
- Equal Set - Sets in which elements of one set are similar to elements of another set. The sequence of elements can be any but the same elements exist in both sets.
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