Question

Let A={123} then the domain of relation R={(1,1),(2,3),(2,1)

Answer 1

Answer:

from A to R

let n(A) = a = 4

and n(R) = r =2

since a > r so

no. of onto functions is aDr = ra−(nC1)(n−1)m+(nC2)(n−2)m…..

=24−2C1(1)4+0+0……

= 16 -2!1!1!(1) +0

= 16 -2 =14

so no. of onto functions from E to F = 14

Answer 2

Step-by-step explanation:

Let us consider n(A) = a = 4

and n(R) = r =2

since a > r so

= ra−(nC1)(n−1)m+(nC2)(n−2)m

=24−2C1(1)4+0

= 16 -2!1!1!(1) +0

= 16 -2 =14

So.... E to F = 14