Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is the probability that none of the objects occupy the place corresponding to its number?
Options
A) 17/24  B) 3/8  C) 1/2  D) 5/8  E) 5/3
Explanation :   Let a particular number (say) number 2 occupies position 1.   Then all possible arrangement are given as:   =&gt;(2,1,3,4), (2,1,4,3), (2,3,4,1), (2,4,1,4), (2,4,1,3), (2,4,3,1).   Out of these six, three (2,1,3,4), (2,3,1,4), (2,4,3,1) are not acceptable because numbers 3 and 4 occupy the correct positions.   Hence, the required probability = 3/6 = 1/2.   Answer : 1/2
<result>C</result>
Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is the probability that none of the objects occupy the place corresponding to its number?