Straight Lines ...

There are $$10$$ trees between two stations $$A$$ and $$B$$. Three of them are to be cut down then the total number of ways so that no two trees are to be cut consecutively, is

33, 43, 65, 99, 145 ?

If $$\left( {n + 1} \right)! = 12 \times (n - 1)!\;then\;n = $$

If D=4 and COVER = 63, then BASIC is equal to

If $$5\times 9=144; 7\times 8=151:4\times 6=102,$$ then $$2\times 5=?$$

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

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:

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

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 ____________.