Permutting digits

Number Theory Level pending

Suppose for positive integers r r and s s , 2 r 2^r is obtained by permuting the digits of 2 s 2^s .Then which of the following is true?


This problem is taken from RMO 2014
r + s = 9 r+s=9 r > s r>s r < s r<s r = s r=s r + s = 5 r+s=5

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