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

[EX Q]: Problem: what is the units digit of 31 ! + 50 ! + 2 ! + 3 ! ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
[EX A]: e

[EX Q]: Problem: divide rs . 32000 in the ratio 1 : 7 ? 
Options: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 4000 , 28000 , d ) 12000 , 20006 , e ) 12000 , 20001
[EX A]: c

[EX Q]: Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 110 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? 
Options: a ) 11 / 48,000 , b ) 1 / 8,100 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45
[EX A]:
a