#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using P = pair<ll, ll>;
using Graph = vector<vector<ll>>;
#define rep(i, n) for(ll i=0;i<(ll)(n);i++)
#define rep2(i, m, n) for(ll i=m;i<(ll)(n);i++)
#define rrep(i, n, m) for(ll i=n;i>=(ll)(m);i--)
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
const int ddx[8] = {0, 1, 1, 1, 0, -1, -1, -1};
const int ddy[8] = {1, 1, 0, -1, -1, -1, 0, 1};
const ll MOD = 1000000007;
const ll INF = 1000000000000000000L;
#ifdef __DEBUG

/**
 * For DEBUG
 * https://github.com/ta7uw/cpp-pyprint
 */
#include "cpp-pyprint/pyprint.h"

#endif

class mint {
public:
    long long x;

    constexpr mint(long long x = 0) : x((x % MOD + MOD) % MOD) {}

    constexpr mint operator-() const {
        return mint(-x);
    }

    constexpr mint &operator+=(const mint &rhs) {
        if ((x += rhs.x) >= MOD) x -= MOD;
        return *this;
    }

    constexpr mint &operator-=(const mint &rhs) {
        if ((x += MOD - rhs.x) >= MOD) x -= MOD;
        return *this;
    }

    constexpr mint &operator*=(const mint &rhs) {
        (x *= rhs.x) %= MOD;
        return *this;
    }

    constexpr mint operator+(const mint &rhs) const {
        mint res(*this);
        return res += rhs;
    }

    constexpr mint operator-(const mint &rhs) const {
        mint res(*this);
        return res -= rhs;
    }

    constexpr mint operator*(const mint &rhs) const {
        mint res(*this);
        return res *= rhs;
    }

    [[nodiscard]] constexpr mint pow(long long t) const {
        if (!t) return 1;
        mint a = pow(t >> 1);
        a *= a;
        if (t & 1) a *= *this;
        return a;
    }

    [[nodiscard]] constexpr mint inv() const {
        return pow(MOD - 2);
    }

    mint &operator/=(mint rhs) {
        return *this *= rhs.inv();
    }

    mint operator/(const mint rhs) const {
        return mint(*this) /= rhs;
    }

    constexpr bool operator==(const mint &rhs) const noexcept {
        return this->x == rhs.x;
    }

    constexpr bool operator!=(const mint &rhs) const noexcept {
        return this->x != rhs.x;
    }

    bool operator<(const mint &rhs) const noexcept {
        return this->x < rhs.x;
    }

    bool operator>(const mint &rhs) const noexcept {
        return this->x > rhs.x;
    }

    bool operator<=(const mint &rhs) const noexcept {
        return this->x <= rhs.x;
    }

    bool operator>=(const mint &rhs) const noexcept {
        return this->x >= rhs.x;
    }

    friend istream &operator>>(istream &is, mint &a) {
        long long t;
        is >> t;
        a = mint(t);
        return is;
    }

    friend ostream &operator<<(ostream &os, const mint &a) {
        return os << a.x;
    }
};

const int MAX = 510000;
long long fac[MAX], finv[MAX], inv[MAX];
bool initialized = false;

/**
 * @fn
 * This function must be called at first.
 */
void combination_init() {
    initialized = true;
    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;
    }
}

/**
 * @fn
 * Calculates the combination  ( nCK % p: N choose K mod p).
 *
 * @brief constraint: 1 ≤ k ≤ n ≤ 10^7
 * @return nCK % MOD
 */
long long combination(int n, int k) {
    assert(initialized);
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}

/**
 * @fn
 * Calculates the factorial of the number.
 *
 * @return N! % MOD
 */
long long factorial(int n) {
    assert(initialized);
    if (n < 0) return 0;
    return fac[n] % MOD;
}

/**
 * @fn
 * Calculates the combination ( nCK % p: N choose K mod p).
 *
 * @brief constraint: 1 ≤ k ≤ 10^7 and 1 ≤ n ≤ 10^9
 * @return nCK % MOD
 */
long long combination2(int n, int k) {
    assert(initialized);
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    ll res = 1;
    k = min(k, n - k);
    for (long long x = 1; x <= k; x++) {
        res *= (n - x + 1);
        res %= MOD;
        res *= inv[x];
        res %= MOD;
    }
    return res;
}


ll N, K;
Graph graph;

mint dfs(ll u, ll prev, ll p_cnt) {
    mint res = combination(K - p_cnt, 1);
    ll cnt = 1 + (prev != -1 ? 1 : 0);
    for (ll v : graph[u]) {
        if (v == prev) continue;
        res *= dfs(v, u, cnt);
        cnt++;
    }
    return res;
}

void Main() {
    cin >> N >> K;
    graph.resize(N);
    rep(i, N - 1) {
        ll a, b;
        cin >> a >> b;
        a--;
        b--;
        graph[a].push_back(b);
        graph[b].push_back(a);
    }
    combination_init();
    cout << dfs(0, -1, 0) << '\n';
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    Main();
    return 0;
}


Measured memory_bytes: 23552