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A student passes an examination if he secures a minimum in each of the 7 subjects. Find the number of ways a student can fail.

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A student passes an examination if he secures a minimum in each of the 7 subjects. Find the number of ways a student can fail.

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Every subject a student may pass or fail.

∴ Total number of outcomes = 27 = 128

This number includes one case when the student passes in all subjects.

Required number of ways = 128 – 1 = 127

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