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Number of Elements in a Cartesian Product

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if the number of subsets of set A exceeds the number of subsets of set B by 960. find the number of elements in set A and set B .

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Q. If A and B be two finite sets such that the total number of subsets of A is

960

more than the total number of subsets of B, then

n (A) - n (B)

(where n(x) denotes the number of elements in set x) is equal to?

Q. Find the number of subsets of a set whose set contains

6

If a set has 31 proper subsets, then the number of elements in the set is ___.

Q. If a set has 31 proper subsets, then the number of elements in the set is ______.

Q. Assertion :The power set of a set

A

128

elements then number of elements in set

A

7

. Reason: Number of subsets of a set

A

n

elements is equal to

2^{n}

.

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Number of Elements in a Cartesian Product

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