What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged?  Choose the correct choice from the following choices.
A) 1/4
B) 1/6
C) 1/3
D) 1/24
E) 1/12
Explanatory Answer   Step 1: Compute denominator   In any probability question, the denominator represents the total number of outcomes for an event. The numerator represents the number of favorable outcomes.   The total number of ways in which the word MATH can be re-arranged = 4! = 4*3*2*1= 
<gadget id="calculator">4*3*2*1</gadget>
<output>24</output>
24 ways.   Step 2: Compute numerator and the probability   If the positions in which the consonants appear do not change, the first, third and the fourth positions are reserved for consonants and the vowel A remains at the second position.   The consonants M, T and H can be re-arranged in the first, third and fourth positions in 3!= 6 ways so that the positions in which the positions in which the consonants appear remain unchanged.   Therefore, the required probability 6/24=/14   Choice 1/4
<result>A</result>
What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged?