Each of seven different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Choose one.
A) 1/8
B) 1/6
C) 1/49
D) 3/8
E) 1/2
I was just going over probability questions.   can some one explain me what's wrong in my approach here.   Probability of choosing one right key out of 7 is 1/7.   Probability of choosing another right key is 1/7.   since the question is asking for 2 right keys , probability is multiplication of both = 1/7 * 1/7 = 1/49.   Ans 1/49
<result>C</result>
Each of seven different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?