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Cod sursa(job #481499)
#include <stdio.h>
int v[26],n,k,kfact,nmkfact,nfact;
float a[26],ossz=0;
int fact(int k){
int i,temp=1;
for(i=2;i<=k;i++){
temp=temp*i;}
return temp;
}
void osszead(){
float temp=1;
int i;
for(i=1;i<=k;i++){temp=temp*a[v[i]];}
ossz+=(temp*kfact*nmkfact);
}
void back(int p){
int i;
for(i=v[p-1]+1;i<=n;i++){
v[p]=i;
if(p==k){osszead();}else{back(p+1);}
}
}
int main(){
freopen("dezastru.in","r",stdin);
freopen("dezastru.out","w",stdout);
int i;
scanf("%d %d",&n,&k);
for(i=1;i<=n;i++){scanf("%f",&a[i]);}
kfact=fact(k);
nfact=fact(n);
nmkfact=fact(n-k);
back(1);
ossz=ossz/nfact;
printf("%.6f",ossz);
return 0;
}