Home
Class 11
MATHS
Find sets A, B and C such that A nnB , B...

Find sets A, B and C such that `A nnB` , `B nnC` and `A nnC` are nonempty sets and `A nnB nnC=varphi` .

Text Solution

AI Generated Solution

To solve the problem, we need to find sets A, B, and C such that: 1. \( A \cap B \) is a non-empty set. 2. \( B \cap C \) is a non-empty set. 3. \( A \cap C \) is a non-empty set. 4. \( A \cap B \cap C = \varphi \) (the empty set). Let's go through the steps to find such sets. ...
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1.6|8 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|32 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Three sets A,B and C are such that A=B nnC and B=CnnA

For any sets A and B. show that P(A nnB) = P(A)nn P(B)dot

Show that A nnB = A nnC need not imply B = C .

For sets A, B,C , show that (A-B) cup (A-C) = A -(B cup C)

For all sets A, B and C, A - (B - C) = (A - B) - C .

Show that A nnB = A uuB implies A = B

Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=0. 6 . Find: P( A nnB)

For any two sets A and B Ann(AuuB)= a. B b. A c. varphi d. none of these

If A and B are two sets, then find (A cap B) cup B .

A set A contains 10 elements. Set B is subset of A and sec C is also subset of A. B and C are such that CuuB=A amd CnnB=varphi . Then number of possible ordered pairs of set B and C is 2^9 (2) 2^8 (3) 3^(10) (4) 2^(10)