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Given a function f:AtoB, where A={1,2,3,...

Given a function `f:AtoB,` where `A={1,2,3,4,5}` and `B={6,7,8}`
Find number of all such functions `y=f(x)` which are one-one?

A

`0`

B

`3^(5)`

C

`.^(5)P_(3)`

D

`5^(3)`

Text Solution

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The correct Answer is:
A
NA
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Knowledge Check

  • If A= {1,3,5,7} and B= {1,2,3,4,5,6,7,8} , then the number of one-to-one functions from A into B is

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    D
    `(5)/(81)`

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