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Question

How many combinations were permitted?

A
4
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B
5
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C
6
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D
7
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Solution

The correct option is A 4
Suppose a candidate offers A. Then, he has to offer B also. The third marks along with A and B cannot be E but any one of C, D and F. The possible combinations are, thus, ABC, ABD and ABF.
Suppose a candidate offers C. Then, he cannot offer F. Also, A and B go together and as such none of them can be offered, as the possible combinations containing both A and B have already been considered. So, C can be offered along with D and E. Thus, another possible combination is CDE. Hence, there are four possible
combinations - ABC, ABD, ABF, CDE.

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