Sets Test - 41...

If P(S) denotes the set of all subsets of a given set S, then the number of one to one function from the set s={1,2,3} to the set of P(S) is 

In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English ?

If n(A)=3, n(B)=4, then $$n(A\times B\times C)=36 find \,n(C)$$ is equal to :

If $$A=\left\{1,2,3,4\right\}; B=\left\{2,4,6,8\right\}; C=\left\{3,4,5,8\right\}$$ then $$A\cap B\cap C=$$

Let A,B are two sets such that n(A)=4 and n(B)=6. Then the least possible number of elements in the power set of $$(A\cup B)$$ is 

Let  $$A , B$$  and  $$C$$  be pairwise independent events with  $$P ( C ) > 0$$  and  $$P ( A \cap B \cap C ) = 0$$  Then,  $$P \left( A ^ { C } \cap B ^ { C } / C \right)$$ is equal to 

Let $$\displaystyle S=\left\{a\in N,a\le100\right\}$$ if the equation $$\displaystyle[{\tan}^{2}x]-\tan x-a=0$$ has real roots, then the number of elements $$S$$ is (when $$[.]$$ is greatest integer function)

The function $$f(x)$$ satisfies the condition $$(x-2)f(x)+2f\left(\dfrac{1}{x}\right)=2$$ for all $$x\neq 0$$. Then the value of $$f(2)$$ is 

The value of c for which the set $$\{(x, y)|x^2+y^2+2x\leq 1\}\cap \{(x, y)|x-y+c\geq 0\}$$ contains only one point in common is?

If $$A=\left\{1, 2, 3, 4\right\}$$, then the number of subsets of $$A$$ that contain the element $$2$$ but not $$3$$, is