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Question

If n(A)=10, n(B)=20,c=5 in the given Veen diagram. Find a and b.

  1. a=10 and b=15    
  2. a=5 and b=5    
  3. a=15 and b=10    
  4. a=15 and b=5    

The correct answer is: a=5 and b=5


    n left parenthesis A right parenthesis equals 10
n left parenthesis B right parenthesis equals 20
c equals 5

F r o m space v e n n space d i a g r a m comma
n left parenthesis A right parenthesis equals a plus c
10 equals a plus 5
a equals 10 minus 5
therefore a equals 5

n left parenthesis B right parenthesis equals b plus c
20 equals b plus 5
b equals 20 minus 5
therefore b equals 15

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