In a certain examination, a candidate has to pass in each of the 5 subjects. Hence, the number of ways he…

In a certain examination, a candidate has to pass in each of the 5 subjects. Hence, the number of ways he can fail is
  1. $5 !$
  2. 5
  3. $2^5-1$
  4. $2^5$

Solution

In each subject either he can pass or he can fail Total number of ways $=2^5$ Number of ways which he can pass is only Hence, the number of ways in which he can fail $=2^5-1$

Asked in: MHT CET 2022 (08 Aug Shift 1)

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