Permutations And Combinations Question 123

Question: In how many ways can a committee consisting of one or more members be formed out of 12 members of the Municipal Corporation

Options:

A) 4095

B) 5095

C) 4905

D) 4090

Show Answer

Answer:

Correct Answer: A

Solution:

  • Required number of ways $ {{=}^{12}}C_1{{+}^{12}}C_2{{+}^{12}}C_3+…….{{+}^{12}}C _{12}=2^{12}-1 $ $ =4096-1=4095 $ .

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