Given the task definition and input, reply with output. In this task, you need to provide the correct option for a given problem from the provided options.

Problem: set x consists of the integers from 10 to 15 , inclusive , while set y consists of the integers from 5 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ?
Options: a ) 5 , b ) 8 , c ) 4 , d ) 1 , e ) 9
d