If f:A toA where A={1,2,3,4,5,6,7,8,9,1...

If ` f:A toA where `A={1,2,3,4,5,6,7,8,9,10} and `f(x)={(x,,x is even),(x+1,,x is odd):}` and `g:A to A ` such that `g(f(x))=f(x)` . Find the number(s) of such function

A

`(10!)/(5!*5!)`

B

`5^5`

C

`10^5`

D

`10^10`

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