A 700-level question for the GMAT committed souls studying over the weekend.
If a and b are distinct integers and a^b=b^a, how many solutions does the ordered pair (a, b) have? Choose one:
A) None
B) 1
C) 2
D) 4
E) Infinite
(2,4) and (4,2)   a=1 b=1 and a=2 b=2 also has the solution. But we need distinct. Now when we will increase a&gt;4, b^a increase more rapidly than a^b.   ANSWER:1
<result>B</result>
A 700-level question for the GMAT committed souls studying over the weekend.
If a and b are distinct integers and a^b=b^a, how many solutions does the ordered pair (a, b) have?