p4.py

Created on March 22, 2022

293 Bytes

 propriété arrangements d'un ensemble
 
 le nbr de K-uplets d'élements
 distintcs de E se note Akn est 
 égal à = Akn=n!/(n-k)! et 
 par convention Aon=1
 
 PREUVE
 VneN, VkeN, 1<k<n
 n!/(n-k)!=nx(n-1)x...x(n-k)x
 (n-k-1)x...x1 / (n-k)x(n-k+1)x....x1
 =n(n-1)x...x(n-k+1)
 =Akn

During your visit to our site, NumWorks needs to install "cookies" or use other technologies to collect data about you in order to:

Ensure the proper functioning of the site (essential cookies); and
Track your browsing to send you personalized communications if you have created a professional account on the site and can be contacted (audience measurement cookies).

With the exception of Cookies essential to the operation of the site, NumWorks leaves you the choice: you can accept Cookies for audience measurement by clicking on the "Accept and continue" button, or refuse these Cookies by clicking on the "Continue without accepting" button or by continuing your browsing. You can update your choice at any time by clicking on the link "Manage my cookies" at the bottom of the page. For more information, please consult our cookies policy.

Accept and continue Continue without accepting