in a test of 50 questions , 3 marks were awarded for correct answer , 0 for non attempting - Maths - Integers

Question

in a test of 50 questions , 3 marks were awarded for correct answer
, 0 for non attempting and -1 for an incorrect answer in how many
ways a student can score 120 marks??

Shanu Anand · Accepted Answer

Case 1:
He can attempt 40 questions and get all 40 correct
So total marks will be 40*3=120 and non attempt will be 10
Case 2:
He can attempt 44 questions out of which he get 41 correct and 1
incorrect
41*3-3*1=123-3=120
So he can score 120 in only two ways
Regards

in a test of 50 questions , 3 marks were awarded for correct answer , 0 for non attempting and -1 for an incorrect answer. in how many ways a student can score 120 marks??