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Let A={x1,x2,......xm},B={y1,y2,.....,yn...

Let `A={x_1,x_2,......x_m},B={y_1,y_2,.....,y_n}` then total number of relations that can be defined from A to B, is

A

`m^(n)`

B

`n^(m)-1`

C

`mn-1`

D

`2^(mn)-1`

Text Solution

Verified by Experts

The correct Answer is:
D
We have, `n(A)=m and n (B) =n`
`n(AxxB)=n(A)*n(B)`
Total number of releation from A to B =`2^(mn)-1=2^(n(AxxB)^(-1))-1`
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