Tag: mathematics and statistics

If $A = {2, 3, 5}$ and $B = {5, 7}$, find the set with highest number of elements:

For two sets $A$ and $B$, $A\times B=B\times A$.

Let A and B be sets containing 2 and 4 elements respecetively. The number of subsets $A \times B$ having 3 or more elements is 

If $A$ and $B$ are independent event such that $P(A \cap B')=\dfrac {3}{25}$ and $P(A' \cap B)=\dfrac {8}{25}$, then $P(A)=$

The number of ordered pairs (x, y) of natural numbers satisfy the equation $x^2+y^2+2xy-2018x-2018y-2019^o=0$ is?

The number of ordered triplet $\left(x,y,z\right),x,y,z$ are positive integers satisfying $xyz=105$

If $\int\dfrac{2\cos x-\sin x+\lambda}{\cos x-\sin x-2}dx=A In\left|\cos x+\sin x-2\right|+Bx+C$. Then the ordered triplet $\left(A,B,\lambda\right)$, is 

If $A={1, 2, 3}$ and $B={3, 8}$, then $(A\cup B)\times (A\cap B)$ is

Let $A=\left { 1,2,3 \right }$ and $B=\left { a,b \right }$.Which of the following subsets of $A\times B$ is a mapping from $A$ to $B$

Let $ A= { 1,2,3,.......50} $ and $B={2,4,6.......100}$ .The number of elements $\left ( x, y \right )\in A\times B$ such that $x+y=50$