Question

QUIZLET Set A contains 52 elements and Set B contains 46 elements. If Sets A and B have 29 elements in common, what is the total number of elements in either Set A or Set B.

Answer 1

69

Step-by-step explanation:

Set A = 52 elements, set B = 46 elements, A intersection B = 29 elements.

A only = 52 - 29 = 23

B only = 46 - 29 = 17

Total number of elements in either set A or set B = number of elements in A only + number of elements in B only + number of elements in A intersection B

= 23 + 17 + 29

= 69 elements

Hence, the total number of elements in either Set A or Set B is 69