If a, b, c and d are positive integers less than 4, and 4^a+3^b+2^c+1^d=78 then what is the value of b/c?
Choose the correct option.
A) 3	B) 2	C) 1	D) 1/2	E) 1/3
Since a, b and c are positive integers less than 4 we have the following possibilities:   4^a=4,16,or 64   3^b=3,9,or 27   2^c=2,4,or 8   Trial and error gives us quite quick the solution of   4^a=64   3^b=9   2^c=4   64+9+4= 
<gadget id="calculator">64+9+4</gadget>
<output>77</output>
77   i.e. c=2 and b=2 ----&gt; b/c=1/1= 
<gadget id="calculator">1/1</gadget>
<output>1</output>
1   The correct answer is 1
<result>C</result>
If a, b, c and d are positive integers less than 4, and 4^a+3^b+2^c+1^d=78 then what is the value of b/c?