Relations and F...

$$\left (A \cap B  \right ) \times C$$

Given $$M=\{5,6,7\}$$ and $$N=\{6,8,10\}$$ find element of $$(M\cup N)\times N$$

If $$f(x) \displaystyle = \frac{2^x+2^{-x}}{2}$$, then $$f(x+y) \cdot f(x-y)=$$ ____________

$$n(A)=4 $$ and  $$n(B) =5$$: $$n(A \times B)=$$

n (A $$\times$$ B) =

Let A and B be finite sets containing m and n elements respectively. The number of relations that can be defined from A and B is:

Which of the following statements is true?

Let A be a finite set containing n distinct elements. The number of relations that can be defined on A is:

If A $$=$$ {1, 2}, B $$=$$ {3, 4}, then A$$\times$$B $$=$$

Which one of the statement is false ?