Factorial for large number and its division to another large factorial number

Hello everyone,

I have been trying to solve a complicated problem for probability with some permutation rules . Anyway, I am stuck to solve the following formula:

(365!/(365-30)!) / 365 ^ 30

I have used Stirling's formula to solve factorial for a large number but I got nothing. In addition, I have used the bigfactorial function and got answers for each number (365! and 340!). However when I divide it I got inf. or Nan

Please anyone helps me with many thanks.

Answer 1

[Matt J]

     >> prod(  (336:365)./365 )

   ans =

      0.2937

[ABDULAZIZ]

That is an intelligent way to solve it. Thanks Matt.

[Rod R. Warlick]

Your answer kept my large factorial terms from blowing up... thanks.