a company has 25 employees. One day 8 letters that did not have names on the envelope arrived for 8 different employees.The mail sorter placed each letter randomly in a different employee mailbox.

What is the expression of the probability that all the letters went to the correct employees?

Question

a company has 25 employees. One day 8 letters that did not have names on the envelope arrived for 8 different employees.The mail sorter placed each letter randomly in a different employee mailbox.

What is the expression of the probability that all the letters went to the correct employees?

anonymous · Answer

The options are $$8!/(25-8)!$$ 
(25-8)!/8!

25!/(25-8)!

(25-8)!/8!(25-8)

anonymous · Answer

or 8!(25-8)!/25!

ganeshie8 · Answer

you don't have below option ?

$\large \dfrac{(25-8)!}{25!}$

?

anonymous · Answer

yes

anonymous · Answer

its under the first

ganeshie8 · Answer

hmm - i don't see you listed that in ur options yet... what do u mean its under the first ha

anonymous · Answer

Where it says these options are !

ganeshie8 · Answer

ugh :/ i dont see it listed, but ok :)
so did u get why its (25-8)!/25! 
?