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Question

In the intermediate examination, a candidate has to pass in each of the 6 subjects, then number of ways that he can fail is:

A
60
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B
61
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C
62
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D
63
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Solution

The correct option is D 63
In the intermediate examination, a candidate has to pass in each of the 6 subjects.
Therefore we have 6 spots to fill with either P or F.
If F comes in any of the six places once or more, then he fails.
Total cases can happen: 26=64
Number of cases when he fails no test: 1
Number of ways in which he can fail: 641=63

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