Tag: mathematics and statistics

If $A \times B = {(3, a), (3, -1), (3, 0), (5, a), (5, -1), (5, 0)}$, find $A$.

$(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $x$ and $p$, if $(3x - 1, 9) = (11, p + 2)$

 $(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $p$ and $y$, if $(4y + 5, 3p - 1) = (25, p + 1)$

If $A = {2, 3}$ and $B = {1, 2}$, find $A \times B$.

If $A \times B =$ ${(2, 4), (2, a), (2, 5), (1, 4), (1, a), (1, 5)}$, find $B$.

If A and B are two non-empty sets having n elements in common, then what is the number of common elements in the sets $A\times B$ and $B\times A$?

Let $A=\left{ x\in W,the\quad set\quad of\quad whole\quad numbers\quad and\quad x<3 \right} $

Let $A = \left{ a,b,c,d \right}$ and $ B=\left{ x,y,z \right}$. What is the number of elements in $ A\times B$?

If $A = \left{ 1,2 \right}$, $B = \left{ 2,3 \right}$ and $ C = \left{ 3,4 \right}$, then what is the cardinality of $ \left( A\times B \right) \cap \left( A\times C \right) $

A and B are two sets having $3$ elements in common. If $n(A)=5, n(B)=4$, then what is $n(A\times B)$ equal to?