In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and six different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color? Choose the correct choice from the following choices
A) 719/720  B) 1/120  C) 2/233  D) 3/543  E) 1/720
6 ties and 6 shirts...   red tie can take any of 6 shirts..   orange can take any of the remaining 5 shirts   yellow any of remaining 4..   and so on till last indigo chooses the 1 remaining..   Total ways= 6*5*4*3*2*1= 
<gadget id="calculator">6*5*4*3*2*1</gadget>
<output>720</output>
720   out of this 720, ONLY 1 way will have same colour tie and shirt..   prob= 1/720   ANSW1/720R:1/720
<result>E</result>
In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and six different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?