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

[Q]: Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 18 boys and 42 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
[A]: c


[Q]: Problem: set a consists of the integers from 4 to 15 , inclusive , while set b consists of the integers from 7 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10
[A]: d


[Q]: Problem: 11 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? 
Options: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 1540
[A]:
e