Question

E3RQRH
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​

Answer 1

Step-by-step explanation:

Given:

1. Multiple Choice Questions

(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

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

To find:

State true and false for Q1.

Write answer for Q2

Solution:

We know that set is a collection of

(A) Collection of students in a class

Ans: True

Explanation: Collection of students in a class are same for every one.It is well defined.

(B)Collection of beautiful students in a school

Ans: False

Explanation: Definition of beauty is different for everyone.

So,Collection of beautiful students in a school can not form a set.

(C)Collection of districts in a state

Ans. True

Explanation: Collection of districts in a state is same for everyone.It is well defined.thus form a set.

(D)Collection of members in a family

Ans: True

Explanation: Collection of members of family are well defined so forms a set.

Q2:If A = { i,j,k,l,m }, then the number of proper subsets of______

Sol:Cardinal number of A is 5

Total number of subset so formed are

${2}^{5} = 32$

Total number of proper subsets of A are

${2}^{5} - 1 \\ \\ = 32 - 1 \\ \\ = 31$

Thus,

Total proper subsets of A are 31.

Final answer:

Q1

A) True

B) False

C) True

D) True

Q2: 31 proper subsets

Hope it helps you.

To learn more on brainly:

Consider the sets φ, A = {1, 3}, B = {1, 5, 9}, C = {1, 3, 5, 7, 9}. Insert the symbol ⊂ or ⊄ between each of the follow...

https://brainly.in/question/5484273