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If A = {1,3,5,7}, B ={2,5), find the num...

If A = {1,3,5,7}, B ={2,5), find the number of relations from A to B

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We have n(A), n(B)=2
`therefore`n(`AxxB`)=n(A)`XX`n(B)= `4xx2`=8
`therefore`No of relations from Ato B.`2^b`=256
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Knowledge Check

  • Let x = {1,2,3,4,5} and Y = {1,3,5,7,9}. Which of the following is /are relations from X to Y ?

    A
    `R_1 = {(x,y): y = 2+x,x in X , y in Y}`
    B
    `R_2={(1,1),(2,1),(3,,3),(4,3),(5,5)}`
    C
    `R_3 = {(1,1),(1,3),(3,5),(3,7),(5,7)}`
    D
    `R_4 = {(1,3),(2,5),(2,4),(7,9)}`

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