There are 4 letters and 4 directed envelopes. These 4 letters are randomly inserted into the 4 envelopes. What is the probability that the letters are inserted into the corresponding envelopes?

Step-by-step solution

Four letters can be placed in 4 envelops in 4 ! ways whereas there is only one way of placing them in their right envelops. So that the probability that all the letters are placed aligned & in the right envelops = 1 4! ways & = 1 4 3 2 = 1 24 . aligned