In this task, you need to provide the correct option for a given problem on probability from the provided options.

[EX Q]: Problem: if two integers x , y ( x > y ) are selected from - 10 to 1 ( inclusive ) , how many possible cases are there ?
Options: a ) 150 , b ) 66 , c ) 190 , d ) 210 , e ) 240
[EX A]: b

[EX Q]: Problem: 6 students are equally divided into 3 groups , then , the 3 groups were assigned to 3 different topics . how many different arrangements w are possible ?
Options: a ) 30 , b ) 60 , c ) 90 , d ) 180 , e ) 540
[EX A]: c

[EX Q]: Problem: in how many ways can 22 books on english and 20 books on hindi be placed in a row on a shelf so that two books on hindi may not be together ?
Options: a ) 4586 , b ) 5896 , c ) 2415 , d ) 1771 , e ) 1881
[EX A]:
d