Permutations an...

The mid points of three sides of a triangle are (0, 1) (0, 2) and (0, 3). Area of this triangle. 

How many six letter words be made out of the letters of $$ASSIST$$ ? In how many words the alphabets $$S$$ alternates with other letters ?

In how many ways can 5 persons A,B,C,D and E sit around a circular table.

If P (n, n) denotes the number of permutations of n different things taken all at a time then P (n, n ) is also identical to:

Observe the given pattern
$$4\times 0+1=01$$
$$4\times1+2=06$$ 
$$4\times 2+3=11$$
$$4\times 3+4=16$$
Then the value of $$4\times8+9 $$ is -----

When we realize a specific implementation of a pancake algorithm, every move when we find the greatest of the sized array and flipping can be modeled through ____________.

The value of $$\displaystyle E = \frac { (1+17)(1+\frac { 17 }{ 2 } )(1+\frac { 17 }{ 3 } )......(1+\frac { 17 }{ 19 } ) }{ (1+19)(1+\frac { 19 }{ 2 } )(1+\frac { 19 }{ 3 } ).....(1+\frac { 19 }{ 17 } ) }  $$ is,

$$20$$ persons are invited for a party, then the number of ways in which they and the host be seated at a round table is

Plot $$(3, 0), (5, 0)$$ and $$(0, 4) $$ on cartesian plane. Name the figure formed by joining these points and find its area.

The area of a triangle with vertices $$A (3, 0), B (7, 0)$$ and $$C (8, 4)$$ is