Question

If `A={a , b , c , d}, B={p , q , r , s}` than which of the following are relations from `A to B ?` Give reasons for your answer.: `R_4={(a , p), (q , a), (b , s), (s , b)}`
A. 4096
B. 4094
C. 128
D. 126

Answer 1

Correct Answer - A
`A = {x, y, z}`
`B{p, q, r, s}`
`n(A) = 3`
`n(B) = 4`
`:.` Number of distinct relations
`= 2^(n(A) xx n(B)) = 2^(3 xx 4) = 2^(12) = 4096`
`:.` option (a) is correct.