What are the number of possible methods for taking these marks in all the subjects?

Question

Rajesh got first class certificate with 67.8% in an examination of 500 marks ( 5 subjects and 100 marks for each subject ). if he got perfect square marks in all the subjects, then what are the number of possible methods for taking these marks in all the subjects?

Answer 1

67.8% of 500 marks=339 marks
Perfect square marks in all subjects
=49+64+64+81+81=339 marks
No of possible methods for taking these marks in all subjects
=5!(2!*2!)=120/4=30
Ans : 30