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Let \( \Omega = \{1,2,3,4,5,6\} \). Then which of the following classes of sets is an algebra?
Let \( \Omega = \{1,2,3,4,5,6\} \). Then which of the following classes of sets is an algebra?
Updated On: Oct 1, 2024
- \( \mathcal{F}_1 = \{\emptyset, \Omega, \{1,2\}, \{3,4\}, \{3,6\}\} \)
- \( \mathcal{F}_2 = \{\emptyset, \Omega, \{1,2,3\}, \{4,5,6\}\} \)
- \( \mathcal{F}_3 = \{\emptyset, \Omega, \{1,2\}, \{4,5\}, \{1,2,4,5\}, \{3,4,5,6\}, \{1,2,3,6\}\} \)
- \( \mathcal{F}_4 = \{\emptyset, \{4,5\}, \{1,2,3,6\}\} \)
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The Correct Option is B
Solution and Explanation
The correct option is (B): \( \mathcal{F}_2 = \{\emptyset, \Omega, \{1,2,3\}, \{4,5,6\}\} \)
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