import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.Closeable;
import java.io.FileInputStream;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class Main implements Runnable {
    static ContestScanner in;
    static Writer out;
    public static void main(String[] args) {
        new Thread(null, new Main(), "", 16 * 1024 * 1024).start();
    }

    public void run() {
        Main main = new Main();
        try {
            in = new ContestScanner();
            out = new Writer();
            main.solve();
            out.close();
            in.close();
        } catch (IOException e) {
            e.printStackTrace();
        }
    }

    List<Integer>[] node;
    void solve() throws IOException {
        int n = in.nextInt();
        k = in.nextInt();
        fact = getFact(k, mod);
        node = new List[n];
        for (int i = 0; i < n; i++) {
            node[i] = new ArrayList<>();
        }
        for (int i = 0; i < n - 1; i++) {
            int a = in.nextInt() - 1;
            int b = in.nextInt() - 1;
            node[a].add(b);
            node[b].add(a);
        }
        System.out.println(dfs(0, -1));
    }

    int k;
    long dfs(int cur, int par) {
//        System.out.println(cur);
        int vs = node[cur].size();
        int k = this.k;
        if (par == -1) vs++;
        else {
            vs--;
            k -= 2;
        }
        if (vs > k) return 0;
        long sum = modperm(k, vs, fact, mod);
        for (int v: node[cur]) {
            if (v == par) continue;
            sum = sum * dfs(v, cur) % mod;
        }
        return sum;
    }

    long[] fact;
    long[] getFact(int n, long mod) {
        long[] fact = new long[n + 1];
        fact[0] = 1;
        for (int i = 1; i <= n; i++) {
            fact[i] = fact[i - 1] * i % mod;
        }
        return fact;
    }

    long modperm(int n, int r, long[] fact, long mod) {
        return fact[n] * modinv(fact[n - r], mod) % mod;
    }

    final long mod = 1000000007;
    long modcomb(int n, int r, long[] fact, long mod) {
        return fact[n] * modinv(fact[n - r], mod) % mod * modinv(fact[r], mod) % mod;
    }

    long modinv(long n, long mod){
        return modpow(n, mod-2, mod);
    }

    long modpow(long n, long a, long mod){
        long res = 1;
        while(a > 0){
            if((a&1)==1) res = (res * n) % mod;
            n = n * n % mod;
            a >>= 1;
        }
        return res;
    }
}


@SuppressWarnings("serial")
class MultiSet<T> extends HashMap<T, Integer>{
    @Override public Integer get(Object key){return containsKey(key)?super.get(key):0;}
    public void add(T key,int v){put(key,get(key)+v);}
    public void add(T key){put(key,get(key)+1);}
    public void sub(T key){final int v=get(key);if(v==1)remove(key);else put(key,v-1);}
    public MultiSet<T> merge(MultiSet<T> set)
    {MultiSet<T>s,l;if(this.size()<set.size()){s=this;l=set;}else{s=set;l=this;}
        for(Entry<T,Integer>e:s.entrySet())l.add(e.getKey(),e.getValue());return l;}
}

class Writer extends PrintWriter{
    public Writer(String filename)throws IOException
    {super(new BufferedWriter(new FileWriter(filename)));}
    public Writer()throws IOException{super(System.out);}
}
class ContestScanner implements Closeable{
    private BufferedReader in;private int c=-2;
    public ContestScanner()throws IOException
    {in=new BufferedReader(new InputStreamReader(System.in));}
    public ContestScanner(String filename)throws IOException
    {in=new BufferedReader(new InputStreamReader(new FileInputStream(filename)));}
    public String nextToken()throws IOException {
        StringBuilder sb=new StringBuilder();
        while((c=in.read())!=-1&&Character.isWhitespace(c));
        while(c!=-1&&!Character.isWhitespace(c)){sb.append((char)c);c=in.read();}
        return sb.toString();
    }
    public String readLine()throws IOException{
        StringBuilder sb=new StringBuilder();if(c==-2)c=in.read();
        while(c!=-1&&c!='\n'&&c!='\r'){sb.append((char)c);c=in.read();}
        return sb.toString();
    }
    public long nextLong()throws IOException,NumberFormatException
    {return Long.parseLong(nextToken());}
    public int nextInt()throws NumberFormatException,IOException
    {return(int)nextLong();}
    public double nextDouble()throws NumberFormatException,IOException
    {return Double.parseDouble(nextToken());}
    public void close() throws IOException {in.close();}
}

Measured memory_bytes: 63756