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CBSE Class 11-science Answered

If A and B are two sets such that  A union B  has 40 elements, A has 30 elements and B has 20 elements, how many elements does the shaded region have?
Asked by Topperlearning User | 31 Aug, 2016, 11:28: PM
answered-by-expert Expert Answer
                                                                   
  
 
Here, the shaded region represents the intersection of two sets A and B.
So, we have

n open parentheses A union B close parentheses space equals space n open parentheses A close parentheses plus n open parentheses B close parentheses minus n open parentheses A intersection B close parentheses rightwards double arrow 40 space equals space 30 plus 20 minus n open parentheses A intersection B close parentheses rightwards double arrow n open parentheses A intersection B close parentheses space equals space 10                
Answered by | 01 Sep, 2016, 01:28: AM

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