#include<iostream>
using namespace std;

double c[110][110][110] = {};

void dp(int n, int *a) {
	c[n][n][n] = 0;
	for (int i=n; i>=0; i--) {
		for (int j=n; j>=0; j--) {
			for (int k=n; k>=0; k--) {
				if (k>=n) {
					continue;
				}
				c[i][j][k] = 1.0*n/(n-k);
				if (i!=n) c[i][j][k] += c[i+1][j][k]*(n-i)/(n-k);
				if (i!=j) c[i][j][k] += c[i][j+1][k]*(i-j)/(n-k);
				if (j!=k) c[i][j][k] += c[i][j][k+1]*(j-k)/(n-k);

			}
		}
	}
}

int main() {
	int n, x;
	cin >> n;
	int a[4] = {};

	for (int i=0; i<n; i++) {
		cin >> x;
		if (x>3) {
			a[3]++;
		} else if (x!=0) {
			a[x]++;
		}
	}
	
	for (int i=2; i>0; i--) {
		a[i] += a[i+1];
	}
	
	dp(n, a);

	cout << c[a[1]][a[2]][a[3]] << '\n';
}