My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?
A.
B.
C.
D.  Choices
A) 5% B) 10% C) 20% D) 25% E) 35%
This is a very crude method but i guess it's effective for such small problems.   Possible pairs of letters that could be interchanged are:   AJ   AE   AE   AT   JE   JE   JT   EE   ET   ET   Out of the the ten possibilities, only 1 would lead to an unchanged name.   Therefore, the probability is 1/10 = 10 %.   A more general approach goes as follows:   Each letter can be interchanged in the following ways.   'A' can be interchanged with 4 letters,' 'J' with 3, 'E' with 2 and 'E' with 1.   Therefore total possibilities equal 4+3+2+1= 
<gadget id="calculator">4+3+2+1</gadget>
<output>10</output>
10.   Again only 1 would lead to an unchanged name.   Therefore the answer is 1/10=10% ANS:10%
<result>B</result>
My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?
A.
B.
C.
D.