like8596 like8596
  • 19-05-2021
  • Mathematics
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How many onto functions are there from a set with three elements to a set with eight elements?

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MrRoyal
MrRoyal MrRoyal
  • 22-05-2021

Answer:

0 onto functions

Step-by-step explanation:

Let the sets be [tex]A\ and\ B[/tex] such that:

[tex]n(A) = 3[/tex]

[tex]n(B) = 8[/tex]

Required

The number of onto functions

The condition for onto functions is:

For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A

Since n(B) > n(A) i.e. 8 > 3

Then, there can't be onto functions from A to B

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