Ex 2.1, 8 - Let A = {1, 2} B = {3, 4}. Write A x B and subsets

Ex 2.1, 8 - Chapter 2 Class 11 Relations and Functions - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 2.1, 8 Let A = {1, 2} and B = {3, 4}. Write A × B. How many subsets will A × B have? List them. A = {"1, 2" } & B = {"3, 4" } A × B = {"(1, 3), (1, 4), (2, 3), (2, 4)" } No of elements of A × B = n = 4 Number of subsets of A × B = 2n = 24 = 2 × 2 × 2 × 2 = 16 Therefore, the set A × B has 24 = 16 subsets. Finding Subsets of A × B A × B = {"(1, 3), (1, 4), (2, 3), (2, 4)" } One element {"(1, 3)" }, {"(1, 4)" }, {"(2, 3)" }, {"(2, 4)" }, Two elements {"(1, 3),(1, 4)" }, {"(1, 3), (2, 3)" }, {"(1, 3), (2, 4)" }, {"(1, 4), (2, 3)" }, {"(1, 4), (2, 4)" }, {"(2, 3), (2, 4)" }, Three elements {"(1, 3), (1, 4), (2, 3)" }, {"(1, 3), (1, 4), (2, 4)" }, {"(1, 3), (2, 3), (2, 4)" }, {"(1, 4), (2, 3), (2, 4)" }, Four elements {"(1, 3), (1, 4), (2, 3), (2, 4)" }, No element ϕ

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.