qwer: 7

Arjun asked in Algorithms Apr 3

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Power set of empty set has exactly how many subset(s)

One
Two
Zero
Three

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Arjun asked in Algorithms Apr 3

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Powerset of empty set is $\{ \phi \}$. $\{ \phi \}$ has two subsets, $ \phi $ , $\{ \phi \}$.

So, answer will be Option B. Powerset of empty set has exactly TWO subsets.

Arjun answered Apr 3

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qwer: 6
Let $S$ be an infinite set and $S_1 \dots , S_n$ be sets such that $S_1 \cup S_2 \cup \dots \cup S_n = S$. Then at least one of the sets $S_i$ is a finite set not more than one of the sets $S_i$ can be finite at least one of the sets $S_i$ is an infinite None of the above

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Arjun asked in Algorithms Apr 3

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qwer: 8
Which of the following is/are true? If $S$ is a set and $|S| = 103$, then $S$ is not the power set of any set (that is, there is no set $T$ where $S = \mathcal{P}(T))$. If $S$ is a set and $|S| = 103$, then $S$ is a power set of some set (that is, there is some ... is a set and $|S| = 8$, then $S$ is not the power set of any set (that is, there is no set $T$ where $S = \mathcal{P}(T))$.

Arjun asked in Algorithms Apr 3

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Arjun asked in Algorithms Apr 3

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qwer: 9
Which of the following statements is /are TRUE? $2 \in A \cup B$ implies that if $2 \notin A$ then $2 \in B$. $\{2,3\} \subseteq A$ implies that $2 \in A$ and $3 \in A$. $A \cap B \supseteq\{2,3\}$ implies that $\{2,3\} \subseteq A$ and $\{2,3\} \subseteq B$. $A-B \supseteq\{3\}$ and $\{2\} \subseteq B$ implies that $\{2,3\} \subseteq A \cup B$.

Arjun asked in Algorithms Apr 3

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Arjun asked in Algorithms Apr 3

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qwer: 10
Which of the following statements is /are False? $\{2,3,4\} \in A$ and $\{2,3\} \in B$ implies that $\{4\} \subseteq A-B$. $A \cap B \supseteq\{2,3,4\}$ implies that $\{2,3,4\} \subseteq A$ and $\{2,3,4\} \subseteq B$. $A-B \supseteq\{3,4\}$ ... $\{2,3\} \subseteq A \cup B$ implies that if $\{2,3\} \cap A=\emptyset$ then $\{2,3\} \subseteq B$.

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