A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed in the correct envelopes? Enter your answer in simplified fraction form; example: 3/20

Question

anonymous · Answer

1/4 probability chance?

anonymous · Answer

I think it's a permutation, and 4P4 = 1/6, but I'm not sure if that's right

jim_thompson5910 · Answer

You are correct. It's a permutation and you would evaluate 4 P 4, but the answer is not 1/6

anonymous · Answer

1/24?

jim_thompson5910 · Answer

good, 4 P 4 = 24, so there are 24 ways to order the letters

jim_thompson5910 · Answer

there is only one way to get it in the right order, so that's why the answer is 1/24

anonymous · Answer

thanks!

jim_thompson5910 · Answer

np