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In: Statistics and Probability

(6ptseach)Let A={a,b,c},B={b,c,d},C ={b,c,e}. (a) Explicitly find (i) A∪(B∩C), (ii)(A∪B)∩C, and (iii)(A∪B)∩(A∪C). (iv)Which of these sets are...

(6ptseach)Let A={a,b,c},B={b,c,d},C ={b,c,e}.

(a) Explicitly find (i) A∪(B∩C), (ii)(A∪B)∩C, and (iii)(A∪B)∩(A∪C). (iv)Which of these sets are equal?

(b) Explicitly find (i) A∩(B∪C), (ii)(A∩B)∪C, and (iii)(A∩B)∪(A∩C). (iv)Which of these sets are equal?

(c) Explicitly find (i)(A−B)−C and (ii) A−(B−C). (iii)Are these sets equal?

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