JEE MATHEMATICS MCQ: SET THEORY

1 Easy

1 of 1

Application +4 | -1

Let S = {1, 2, 3, … , 100}. The number of non – empty subsets A of S such that the product of elements in A is even, is

View answer and explanation

Correct option: A

{2^{50}}\left( {{2^{50}} - 1} \right)

Option A (

{2^{50}}\left( {{2^{50}} - 1} \right)

) is correct because it calculates the total subsets minus subsets with only odd numbers.

More Questions from SET THEORY

Practice All Chapter MCQs →

S

2 a_1 a_2 a_3 \ldots . . a_{2006}

a_1, a_2, a_3, \ldots ., a_{2006}

S

a N=\{a n: n \in N: b N=\{n b: n \in N\}

c N=\{c N: n \in N\}

b N \cap c N=d N

a, b, c \in N

b, c

A=\{x: x

\}

B=\{x: x

A-B

F(n)

n

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

40 \%

A, 20 \%

10 \%

C

A

C

4 \%

A

C

2 \%

A