Let-E-be-a-no-empty-set-with-card-n-1-Find-in-term-of-n-A-B-E-Card-A-B-A-B-E-Card-A-B-1-3-A-B-E-Card-A-B-n4-n-1-

Question Number 104850 by ~blr237~ last updated on 24/Jul/20

L e t E b e a n o e m p t y s e t w i t h c a r d = n ⩾ 1

F i n d i n t e r m o f n \sum_{A, B \subseteq E} C a r d (A - B) = \sum_{A, B \subseteq E} C a r d (A \cap B) = \frac{1}{3} \sum_{A, B \subseteq E} C a r d (A \cup B) = n 4^{n - 1}