Question

The number of subsets of {1, 2, 3, . . . , 10} having an odd number of elements is(A) 1024 (B) 512 (C) 256 (D) 50.​

Answer 1

Answer:

Step-by-step explanation:

Given: {1,2,3,...,10}

To find: Number of subsets of given set.

Solution:

The given set {1,2,3,4,5,6,7,8,9,10} have cardinal number;n=10

Number of subsets of a set having n elements is

$\text{No. of subsets}=2^n$

So, number of subsets are $2^{10}$

i.e. 1024

Final answer:

No. of subsets are 1024.

Option A is correct.

Hope it helps you.

To learn more on  brainly:

1. Multiple Choice Questions

1. Find the incorrect statement for set from the following:

(A) Collection of students in a class

(B) Collection of beautiful students in a school

(C) Collection of districts in a state

(D) Collection of members in a family

If A = { i,j,k,l,m }, then the number of proper subsets of​

https://brainly.in/question/39012394

Answer 2

Set Theory:

Explanation:

Let S be the given set of nos.

∴ S = { 1,2,3,...,10}

There are $2^{10$ a subset of given set S.

Let A be the set having an even number of elements.

∴ A = {2,4,6,8,10}

There are $2^5$ subsets of set A.

Let B be the set having an odd number of elements.

∴The set having an odd number of elements =Total no of a subset of S - total no of subset of A

∴ B = S - A

     =   $2^{10} - 2^5$

  B  = 992