#include<bits/stdc++.h>
using namespace std;
#define ALL(x) x.begin(),x.end()
#define rep(i,n) for(int i=0;i<(n);i++)
#define debug(v) cout<<#v<<":";for(auto x:v){cout<<x<<' ';}cout<<endl;
#define INF 1000000000
#define mod 1000000007
using ll=long long;
const ll LINF=1001002003004005006ll;
int dx[]={1,0,-1,0};
int dy[]={0,1,0,-1};
// ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
template<class T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<class T>bool chmin(T &a,const T &b){if(b<a){a=b;return true;}return false;}

const int MAX=510000;
long long fac[MAX],finv[MAX],inv[MAX];
void COMinit(){
    fac[0]=fac[1]=1;finv[0]=finv[1]=1;inv[1]=1;
    for(int i=2;i<MAX;i++){
        fac[i]=fac[i-1]*i%mod;
        inv[i]=mod-inv[mod%i]*(mod/i)%mod;
        finv[i]=finv[i-1]*inv[i]%mod;
    }
}
long long COM(int n,int k){
    if(n<k) return 0;
    if(n<0 or k<0) return 0;
    return fac[n]*(finv[k]*finv[n-k]%mod)%mod;
}
ll fact_mod(ll n) {
    ll ret=1; 
    for(ll i=2;i<=n;i++) ret=ret*(i%mod)%mod;
    return ret;
} 
ll pow_mod(ll x, ll n){
    if(n==0) return 1;
    ll ret=pow_mod((x*x) % mod, n/2);
    if(n&1) ret=(ret*x)%mod;
    return ret;
}
//O(r)
ll combination_mod(ll n, ll r) {
    if(r>n-r) r=n-r;
    if(r==0) return 1;
    ll a=1;
    for(ll i=0;i<r;i++) a=a*((n-i)%mod)%mod;
    ll b=pow_mod(fact_mod(r), mod-2);
    return (a%mod)*(b%mod)%mod;
}
ll inv_mod(ll n){
    return pow_mod(n,mod-2);
}

signed main(){
    cin.tie(0);
    ios::sync_with_stdio(0);

    COMinit();

    int n;cin>>n;
    vector<vector<int>> g(n);
    rep(i,n-1){
        int u,v;cin>>u>>v;u--,v--;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    vector<ll> dep(n,0);
    function<void(int,int)> dfs=[&](int pre,int now){
        for(auto to:g[now])if(pre!=to){
            dep[to]=dep[now]+1;
            dfs(now,to);
        }
    };
    dfs(-1,0);
    vector<ll> depcnt(n+1,0);
    rep(i,n) depcnt[dep[i]+1]++;
    ll ans=0;
    for(ll i=1;i<=n;i++){
        ll res=1;
        res*=depcnt[i]*fac[n-i]%mod;
        ll sf=fac[n]*(n+1-i)%mod*inv_mod(i*fac[n+1-i]%mod)%mod;
        // cout<<i<<" | "<<sf<<endl;
        res=res*sf%mod;
        ans+=res;
        ans%=mod;
    }
    cout<<ans<<endl;
    return 0;
}