If a set $S$ contains 4 distinct elements, what is the total number of possible subsets of $S$ ?

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Given that universal set $ξ$ has $n (ξ) = 50$ , $n (A) = 28$ , $n (B) = 22$ , and $n (A \cap B) = 8$ , find $n (A \cup B)$ .
Using the data from universal set $ξ$ with $n (ξ) = 50$ , $n (A) = 28$ , $n (B) = 22$ , and $n (A \cap B) = 8$ , find the number of elements in…
In a cohort of 60 students, 30 take Chemistry ( $C$ ), 28 take Physics ( $P$ ), and 25 take Biology ( $B$ ). Furthermore, 12 take $C \cap P$ , 10 t…
From the same cohort where $n (P) = 28$ , $n (C \cap P) = 12$ , $n (P \cap B) = 10$ , and $n (C \cap P \cap B) = 5$ , how many students take Physics…
Given set $P = {x : x is a multiple of 6, 1 \leq x \leq 30}$ and set $Q = {x : x is a multiple of 3, 1 \leq x \leq 30}$ , whi…
Determine the truth value of the compound statement: " $5$ is a prime number and $2^{3} = 6$ ".