

Maths Crash Course - Live lectures + all videos + Real time Doubt solving!
Examples
Example 2 Important
Example 3
Example 4
Example 5 Important
Example 6 (i)
Example 6 (ii) Important
Example 6 (iii)
Example 6 (iv)
Example 6 (v)
Example 7 Important
Example 8 (i)
Example 8 (ii)
Example 9 Important
Example 10
Example 11 Important
Example 12
Example 13 Important
Example 14
Example 15
Example 16
Example 17
Example 18 Important
Example 19
Example 20
Example 21
Example 22 Important
Example 23
Example 24 Important
Example 25 Important
Example 26
Example 27 Important
Example 28
Example 29 Important
Example 30
Example 31 Deleted for CBSE Board 2023 Exams
Example 32 Important
Example 33 Important You are here
Example 34 Important
Last updated at Jan. 27, 2020 by Teachoo
Maths Crash Course - Live lectures + all videos + Real time Doubt solving!
Example 33 Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct? Let the set of owners of car A & car B be A & B respectively Number of car A owned = n(A) = 400 Number of car B owned = n(B) = 200 Number of car A and car B owned = n(A ∩ B) = 50 We know that n (A ∪ B) = n (A) + n (B) – n (A ∩ B) = 200 + 400 – 50 = 550 So, number of people who owned either car A or car B = 550 But total number of car owners is only 500 (given in question) Number of people who own car A or car B should be less than total number of car owners investigated But, here 550 > 500 This is a contradiction. So, the given data is incorrect.