/* src:

H = inputInt()
W = inputInt()
K = inputInt()
c[:H] = inputWord()
ret = 0
for h in range(1 << H):
    for w in range(1 << W):
        k = 0
        k += c[:H][:W] == '#' and (h >>$1) & 1 and (w >>$2) & 1
        if k == K:
            ++ret
print(ret)

*/

#include <cassert>
#include <vector>
#include <string>
#include <map>
#include <queue>
#include <stack>
#include <algorithm>
#include <cstdlib>
#include <cstdio>
#include <cstring>

using namespace std;

const char * inputCLineOrWord(int mode) {
    static char buf[65536];
    static int bufLen = sizeof(buf);
    static int bufPos = sizeof(buf);
    static bool canReadFlag = true;
    static bool crFlag = false;
    static bool enterFlag = false;
    if(canReadFlag && (enterFlag ? bufLen<=bufPos : (int)sizeof(buf)<=bufPos+bufPos)) {
        if(0<bufLen-bufPos) {
            memmove(buf, buf+bufPos, bufLen-bufPos);
            bufLen -= bufPos;
        }
        else {
            bufLen = 0;
        }
        char * result = fgets(buf+bufLen, sizeof(buf)-bufLen, stdin);
        canReadFlag = (result!=NULL);
        if(result!=NULL) {
            int n = strlen(result);
            enterFlag = (n!=(int)sizeof(buf)-1-bufLen || (1<=bufLen+n && buf[bufLen+n-1]=='\n'));
            bufLen += n;
        }
        bufPos = 0;
    }
    if(mode==0) {
        int pos = bufPos;
        while(true) {
            char c = buf[pos];
            if(c==32) {
                buf[pos++] = '\0';
                break;
            }
            else if(c==10) {
                if(crFlag) {
                    crFlag = false;
                    if(bufPos==pos) {
                        pos = ++bufPos;
                        continue;
                    }
                }
                buf[pos++] = '\0';
                break;
            }
            else if(c==13) {
                crFlag = true;
                buf[pos++] = '\0';
                break;
            }
            else if(c==0) {
                break;
            }
            ++pos;
        }
        const char * ret = buf + bufPos;
        bufPos = pos;
        while(true) {
            char c = buf[bufPos];
            if(c==32 || c==10 || c==13) {
                ++bufPos;
            }
            else {
                break;
            }
        }
        return ret;
    }
    else if(mode==1) {
        int pos = bufPos;
        while(true) {
            char c = buf[pos];
            if(c==10) {
                if(crFlag) {
                    crFlag = false;
                    if(bufPos==pos) {
                        pos = ++bufPos;
                        continue;
                    }
                }
                buf[pos++] = '\0';
                break;
            }
            else if(c==13) {
                crFlag = true;
                buf[pos++] = '\0';
                break;
            }
            else if(c==0) {
                break;
            }
            ++pos;
        }
        const char * ret = buf + bufPos;
        bufPos = pos;
        if(crFlag) {
            while(true) {
                char c = buf[bufPos];
                if(c==13) {
                    ++bufPos;
                    crFlag = false;
                    break;
                }
                else {
                    break;
                }
            }
        }
        return ret;
    }
    else if(mode==2) {
        return bufLen<=bufPos ? NULL : buf+bufPos;
    }
    assert(false);
    return NULL;
}

const char * inputCWord() {
    return inputCLineOrWord(0);
}

int inputInt() {
    return atoi(inputCWord());
}

std::string inputWord() {
    return inputCWord();
}

void print_unit(bool val) {
    printf("%s", val ? "true" : "false");
}
void print_unit(int val) {
    printf("%d", val);
}
void print_unit(unsigned int val) {
    printf("%u", val);
}
void print_unit(size_t val) {
    printf("%zd", val);
}
void print_unit(const void * val) {
    printf("%p", val);
}
void print_unit(long long val) {
    printf("%lld", val);
}
void print_unit(double val) {
    printf("%g", val);
}
void print_unit(const char * val) {
    printf("%s", val);
}
void print_unit(const std::string & val) {
    printf("%s", val.c_str());
}
template<class T>void print_unit(const std::vector<T> & val) {
    printf("vec(%d) {", (int)val.size());
    for(int i=0; i<(int)val.size(); ++i) {
        fputc(' ', stdout);
        print_unit(val[i]);
    }
    printf(" }");
}

#define _print0()
#define _print1(e) print_unit(e)
#define _print2(e1, e2) _print1(e1),fputc(' ', stdout),_print1(e2)
#define _print3(e1, e2, e3) _print2(e1, e2),fputc(' ', stdout),_print1(e3)
#define _print4(e1, e2, e3, e4) _print2(e1, e2),fputc(' ', stdout),_print2(e3, e4)
#define _print5(e1, e2, e3, e4, e5) _print3(e1, e2, e3),fputc(' ', stdout),_print2(e4, e5)
#define _print6(e1, e2, e3, e4, e5, e6) _print3(e1, e2, e3),fputc(' ', stdout),_print3(e4, e5, e6)
#define _print7(e1, e2, e3, e4, e5, e6, e7) _print4(e1, e2, e3, e4),fputc(' ', stdout),_print3(e5, e6, e7)
#define _print8(e1, e2, e3, e4, e5, e6, e7, e8) _print4(e1, e2, e3, e4),fputc(' ', stdout),_print4(e5, e6, e7, e8)
#define _print9(e1, e2, e3, e4, e5, e6, e7, e8, e9) _print5(e1, e2, e3, e4, e5),fputc(' ', stdout),_print4(e6, e7, e8, e9)
#define _print10(e1, e2, e3, e4, e5, e6, e7, e8, e9, e10) _print5(e1, e2, e3, e4, e5),fputc(' ', stdout),_print5(e6, e7, e8, e9, e10)
#define _GET_PRINT_MACRO_NAME(_1, _2, _3, _4, _5, _6, _7, _8, _9, _10, NAME, ...) NAME
#define print(...) _GET_PRINT_MACRO_NAME(__VA_ARGS__, _print10, _print9, _print8, _print7, _print6, _print5, _print4, _print3, _print2, _print1, _print0)(__VA_ARGS__),fputc('\n', stdout)
#define print0(...) _GET_PRINT_MACRO_NAME(__VA_ARGS__, _print10, _print9, _print8, _print7, _print6, _print5, _print4, _print3, _print2, _print1, _print0)(__VA_ARGS__)

int H;
int W;
int K;
vector<string> c;
int ret;
int k;

int main() {
    H = inputInt();
    W = inputInt();
    K = inputInt();
    c.resize(max((int)c.size(), (int)H)); for(int $1=0; $1<H; ++$1) c[$1] = inputWord();
    ret = 0;
    for(int h=0; h<1 << H; ++h) {
        for(int w=0; w<1 << W; ++w) {
            k = 0;
            for(int $1=0; $1<H; ++$1) for(int $2=0; $2<W; ++$2) k += c[$1][$2] == '#' && (h >> $1) & 1 && (w >> $2) & 1;
            if(k == K) {
                ++ret;
            }
        }
    }
    print(ret);
    return 0;
}


Measured memory_bytes: 3164