14 (+5) If A a,b,c and B 1, 21 then how many relations with 3 tuples are possibl

Question

14 (+5) If A a,b,c and B 1, 21 then how many relations with 3 tuples are possible using the Cartesian product Ax B ?. 16(-3 d. None of the above 15 (+5) If A a,b,c) the Power set P (A) contains the following b. a, b, c, (a,c), a,b Ib, c), a,b,c d. None of the above 16 (+5)What is the Cartesian product of A 1, 2 and B (a, b]? 17 (+5) Given the following sets A (1, 2, 3 and B (a, bl, which of the following are functions given the Cartesian product A x B? d None of these A. a, b c B. a, b C. b D. b C D. d

Explanation / Answer

16. Answer is c.

Consider two sets A and B. Cartesian product product A X B is defined as the set of all ordered pairs (x,y) such that x belongs to set A and y belongs to set B.

17. Answer is B.

Each element from one set (Domain) should map to exactly one element in the other set(Range).

15. Answer is a.

The set of all possible subsets of a set is called Power Set. For example A = {1, 2, 3...n}. There are n elements in set A. So, there will be 2|n| elements in power set and each element is a subset of set A.

14. Answer is b.

The cartesian product consists of 6 elements from which we have to select 3 elements.

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