Ten students roll three dice respectively and consider a number of sums which come out as the person's score.
The sum total of the ten persons' score was 100.
Moreover, after dividing total score of each student by 3 and omitting below the decimal point, ten students’ sum total was 30.
After dividing total score of each student by 3 and rounding off the number of 1st decimal digit, ten students’ sum total was 34.
In these ten students, find the number of students whose score is the number when it is divided by three, one remains.