A student passes an examination if he/she secures a minimum in each of the 7 subjects. Find the number of ways a student can fail. - Mathematics and Statistics

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Sum

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

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Solution

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 = 128 – 1 = 127

Concept: Concept of Factorial Function
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Chapter 6: Permutations and Combinations - Miscellaneous Exercise 6 [Page 92]

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Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 11 | Page 92
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