Differentiation...

The value of $$^{47}C_{4}+\displaystyle \sum _{ j=1 }^{ 5 }\ ^{ \left( 52-j \right)  } { C }_{ 3 }$$ is

Find the missing number.

A committee of $$4$$ persons is to be formed from $$2$$ ladies, $$2$$ old men and $$4$$ young men such that it includes at least $$1$$ lady. at least $$1$$ old man and at most $$2$$ young men. Then the total number of ways in which this committee can be formed is :

Find $$x$$, if $$\dfrac {1}{4!}-\dfrac {1}{x}=\dfrac {1}{5!}$$.

solve

There is a certain relationship between the pair of figure on either side of ::. Identify the relationship on the left side and find the missing figure.

Which number replaces the question mark ?

Rahul told Anand, "Yesterday I defeated the only brother of the daughter of my grandmother." Whom did Rahul defeat ?

Find $$f^{\prime} (3) $$ if $$f(x)=x^3+5x^2-3x+5$$

If $$ y = \sin ^ { - 1 } x$$ then $$ \frac { d y } { d x } $$ is equal to