P. Number of ways in which 7 blue bottles and 6 green bottles can be arranged in a row if exactly two green bottles are together (assume all bottles are alike except for the colour)
Q. Number of arrangements of bottles of MISSISSIPPI if all S's are together and P's are separated.
R. Number of increasing permutation of 9 numbers where each number belongs to the set {1, 2, 3,...,17}
S. Let S be the set of points (a, b) in the coordinate plane where each of a and b can be -1, 0, 1. Then the number of distinct straight lines that pass through at least two points of S is.
Possible answers -
1)24,310
2)2,400
3)1,080
4)630
5)395
6)20
