Each of the 100 students in first year faculty of science studies at least one of the
subsidiary subjects: Mathematics, Programming and Accounting. Given that 65 study
Mathematics, 45 study programming, 42 study accounting, 20 study Mathematics and
programming, 25 study mathematics and accounting and 15 study programming and
accounting, find the number that study:
i. All the three subsidiary subjects
ii. Mathematics and accounting but not programming
iii. Only accounting as a subsidiary subject (7 marks)