5. If A = {letters of word INTEGRITY} and B = {letters of word RECKONING}, find
(i) AUB
(ii) AnB
(iii) A-B
(iv) B-A.
Also verify that:
(a) n(A U B) = n(A) + n(B) - n(A n B)
(b) n(A - B) = n(A U B) - n(B) = n(A) - n(A n B)
(c) n(B - A) = n(A U B) - n(A) = n(B) - n(A n B)
(d) n(A U B) = n(A - B) + n(B - A) + n(A n B).
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