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A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is_________?
Options:
A .  5
B .  6
C .  7
D .  18
Answer: Option C
NUMBER OF WAYS OF OPTING A SUBJECT OTHER THAN MATHEMATICS II = 4C2. = 4X3X2!/2!X2 = 6.
NUMBER OF WAYS OF SELECTION OF MATHEMATICS II = 1
THEREFORE, TOTAL NUMBER OF WAYS = 6+1 =7.

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