In how many ways can a committee consisting of one or more members be formed out of 12 members of Mu

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6.Permutation and Combination

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

A

$4095$

B

$5095$

C

$4905$

D

$4090$

Solution

(a) Required number of ways

${ = ^{12}}{C_1}{ + ^{12}}{C_2}{ + ^{12}}{C_3} + …….{ + ^{12}}{C_{12}} = {2^{12}} – 1$

$ = 4096 – 1 = 4095$.

Standard 11

Mathematics

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