Sets Practice Test 1

Question : 2 of 33

Marks: +1, -0

Two finite sets have x and y elements. Thenthe total number of subsets of the first set is56 more than the total number of subsets ofthe second. The value of x and y are:

7, 6
6, 3
5, 1
8, 7
None of the above

Validate

Solution:

Since the two finite sets have x and y elements, number of subsets of these sets will be the

2^x

and

2^y

respectively,
According to the questions,

2^x - 2^y = 56

Putting x = 6 and y = 3 we get

2^6 - 2^3 = 56

64 - 8 = 56

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