Suppose a,b,c are positive integers such...

Suppose a,b,c are positive integers such that `2^(a)+4^(b)+8^(c)=328 " then" (a+2b+3c)/(abc)` is equal to

A

`(1)/(2)`

B

`(5)/(8)`

C

`(17)/(24)`

D

`(5)/(6)`

Verified by Experts

The correct Answer is:

C

c=3 not possible
Equation is possible if
a=3 b=4 c=2
`(a+2b+3c)/(abc)=(17)/(24)`.

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