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How many elements are in Set A? ◻ How many elements are in Set B ? ◻ How many elements are in Set A and Set B? 8 How many elements are in Set A or Set B? 20 How many elements are not in Set A? 6 ◻ How many elements are not in Set B? 7 ◻ Submit Question qquad Question 10

How many elements are in Set A? □ \square \newlineHow many elements are in Set B B ? □ \square \newlineHow many elements are in Set A and Set B? 88\newlineHow many elements are in Set A or Set B? 2020\newlineHow many elements are not in Set A? 66 □ \square \newlineHow many elements are not in Set B? 77 □ \square \newlineSubmit Question\newline \qquad \newlineQuestion 1010

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Q. How many elements are in Set A? □ \square \newlineHow many elements are in Set B B ? □ \square \newlineHow many elements are in Set A and Set B? 88\newlineHow many elements are in Set A or Set B? 2020\newlineHow many elements are not in Set A? 66 □ \square \newlineHow many elements are not in Set B? 77 □ \square \newlineSubmit Question\newline \qquad \newlineQuestion 1010
  1. Total Elements in Universal Set: We also know the number of elements not in Set A is 66. This means the total number of elements in the universal set is n(A)+6n(A) + 6.
  2. Equating Total Elements: Similarly, the number of elements not in Set B is 77. So the total number of elements in the universal set is also n(B)+7n(B) + 7.
  3. Solving for n(B)n(B): Since the total number of elements in the universal set must be the same, we can set n(A)+6n(A) + 6 equal to n(B)+7n(B) + 7.\newlinen(A)+6=n(B)+7n(A) + 6 = n(B) + 7.
  4. Final Result: Substitute n(B)+7n(B) + 7 for n(A)+6n(A) + 6 in the first equation.\newlinen(B)+7−8=20n(B) + 7 - 8 = 20.\newlineSimplify to find n(B)n(B).\newlinen(B)−1=20n(B) - 1 = 20.\newlinen(B)=21n(B) = 21.

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