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Statement-1 If a set A has n elements, t...

Statement-1 If a set A has n elements, then the number of binary relations on `A = n^(n^(2))`.
Statement-2 Number of possible relations from A to `A = 2^(n^(2))`. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1 (c) Statement-1 is true, Statement-2 is false (d) Statement-1 is false, Statement-2 is true

A

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
B
Let
`A={a_(1), a_(2), a_(3), ..., a_(n)}`
Then, the number of binary relations on `A=n^((nxxn))=n^(n^(2))` and number of relations form `A" to "A=2^(nxxn)=2^(n^(2))`
Both statements are true but Statement-2 is not a correct explanation for Statement-1.
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