Two sets

Suppose Set B contains 69 elements and the total number elements in either Set A or Set B is 124. If the Sets A and B have 29 elements in common, how many elements are contained in set A?

Correct result:

A =  55

Solution:

B=69 AB=AB AB=29 B1=BAB=6929=40 T=124  A=TABB1=1242940=55B=69 \ \\ AB=A\cap B \ \\ AB=29 \ \\ B_{1}=B - AB=69 - 29=40 \ \\ T=124 \ \\ \ \\ A=T - AB - B_{1}=124 - 29 - 40=55



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