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A student has to opt for 2 subjects out of 5 subjects for a course, namely, Commerce, Economics, Statistics, Mathematics I and Mathematics II. Mathematics II can be offered only if Mathematics I is also opted. The number of different combinations of two subjects which can be opted is 

A student has to opt for 2 subjects out of 5 subjects for a course, namely, Commerce, Economics, Statistics, Mathematics I and Mathematics II. Mathematics II can be offered only if Mathematics I is also opted. The number of different combinations of two subjects which can be opted is  Correct Answer 7

If mathematics I is not opted, then two subjects out of four subjects have to be chosen.

Number of ways in which two subjects can be chosen out of four is nc2

= (4 х 3)/2

= 6

If mathematics II is opted, then it can be offered only if mathematics I is also opted. Number of ways in which two subjects can be opted is

= 6 +1 = 7.

Hence, there are total 7 ways to choose two subjects.

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