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Cardinal Number

For a set A, ...

Question

For a set $A$ , if $n (A) = \infty$ , then the $A$ is a finite set.

A

False

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B

True

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Solution

The correct option is A False

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Similar questions

A

n (A) = \infty

A

is a finite set.

Q. If A is a finite set, let

P (A)

denote the set all subsets of A and

n (A)

denote the number of elements in A. If for two finite sets X and Y,

n [P (X)] = n [P (Y)] + 15

n (X)

n (Y)

Q. If A is a finite set, let P(A) denote the set of all subsets of A and n(A) denote the number of elements in A. If for two finite sets X and Y,

n [P (X)] = n [P (Y)] + 15

then find n(X) and n(Y).

Q. If A and B are two finite sets, then n(A) + n(B) is equal to ____________.

Q. If A and B are finite sets such that A ⊂ B, then n(A ∪ B) = ____________.

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