#include<bits/stdc++.h>
using namespace std;
using i64 = long long;
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n, m;
    i64 k;
    cin >> n >> m >> k;
    vector <int> a(m);
    for (int i = 0; i < n; i++) {
        string str;
        cin >> str;
        for (int j = 0; j < m; j++) {
            if (str[j] == 'A')a[j]++;
        }
    }

    i64 x = 0, y = 0;
    for (int i = 0; i < m; i++) {
        if (1LL * a[i] * (n - a[i]) >= k)x++;
        else y++;
    }
    //cerr << x << ' ' << y << '\n';

    auto qpow = [&](i64 x, i64 y)->i64{
        i64 res = 1;
        while (y) {
            if (y & 1)res *= x;
            y >>= 1, x = x * x;
        }
        return res;
    };

    i64 res = 1LL * (qpow(2, x) - 1) * qpow(2, y);

    cout << res;

}