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If a^(x-1)=bc,b^(y-1)=ca,c^(z-1)=ab, and...

If `a^(x-1)=bc,b^(y-1)=ca,c^(z-1)=ab,` and `(xy+yz+zx)/(xyz)=k,` then find `K`

A

xyz

B

0

C

27

D

`1/x+1/y+1/z`

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