// ~~ icebear ~~
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
 
template<class T>
    bool minimize(T &a, const T &b) {
        if (a > b) return a = b, true;
        return false;
    }
 
template<class T>
    bool maximize(T &a, const T &b) {
        if (a < b) return a = b, true;
        return false;
    }
 
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORR(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i, n) for(int i=0; i<(n); ++i)
#define RED(i, n) for(int i=(n)-1; i>=0; --i)
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define task "icebear"
/*END OF TEMPLATE. ICEBEAR AND THE CAT WILL WIN VOI26 */
 
const int MOD = 1e9 + 7;
const int inf = 1e9 + 27092008;
const ll INF = 1e18 + 27092008;
const int N = 3e5 + 5;
int numWord, numNew, numChar, ans[N];
 
void add(int &x, int y) {
    x += y;
    if (x >= MOD) x -= MOD;
    if (x < 0) x += MOD;
}
 
struct Trie {
    const static int ALPHABET = 26;
    struct Node {
        Node *child[ALPHABET];
        bool last;
        Node() {
            REP(i, ALPHABET) child[i] = NULL;
            last = false;
        }
    };
 
    Node *root;
    Trie() { root = new Node(); }
 
    void ins(string &s) {
        Node *p = root;
        for(char &c : s) {
            int pos = c - 'a';
            if (p -> child[pos] == NULL) p -> child[pos] = new Node();
            p = p -> child[pos];
        }
        p -> last = true;
    }
 
    void dfs(Node *p, int len) {
        if (p -> last) return;
        REP(pos, numChar) {
            if (p -> child[pos] == NULL) add(ans[len + 1], +1);
            else dfs(p -> child[pos], len + 1);
        }
    }
} trie;
 
void init(void) {
    cin >> numWord >> numNew >> numChar;
    FOR(i, 1, numWord) {
        string word;
        cin >> word;
        trie.ins(word);
    }
}
 
void process(void) {
    trie.dfs(trie.root, 0);
    vector<int> len(numNew);
    for(int &i : len) cin >> i;
    sort(all(len));
    int j = 1, result = 1;
 
    for(int i : len) {
        while(j <= i) {
            add(ans[j], 1LL * ans[j - 1] * numChar % MOD);
            j++;
        }
 
        result = 1LL * result * ans[i] % MOD;
        add(ans[i], -1);
    }
    cout << result;
}
 
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    if (fopen(task".inp", "r")) {
        freopen(task".inp", "r", stdin);
        freopen(task".out", "w", stdout);
    }
    int tc = 1;
//    cin >> tc;
    while(tc--) {
        init();
        process();
    }
    return 0;
}
 
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