Answer all the questions :
1. In each of the following determine whether the statement true or false,
If it is true, prove it and if it is false, give an example. (1) IFAB and BCC,then AC.
(ii) If A B and B C then A C.
2. Two finite sets have m and n elements. The total number of subsets of the first set is 112 more than the total number of subsets of the second set. Find the values of m and n.
3. For any two sets A and B prove that : P(A) n P(B) = P(AnB)
4. A college awarded 38 medals
Football, 15 in Basketball and 20 in Cricket. If these
medals went to a total of 58 men and only three men got medals in all the three sports,
how many received medals in exactly two of the three sports ?
5. In a survey of 60 people, it was found that 25 people read newspaper H, 26 people read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both and I, 3 read all the three newspapers, Find : (i) Number of people who
read at least one of the newspapers. (ii) Number of people who read exactly one newspaper,
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Answer:
508
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