Buggy python submission (verdict: Runtime Error):
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*M+k] += A[ind][k]
            
    c = Counter(ans)
#     print(c)
    if K in c:
        return c[K]
    else:
        return 0
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)

Fixed submission:
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*N+k] += A[ind][k]
            
    c = Counter(ans)
#     print(c)
    if K in c:
        return c[K]
    else:
        return 0
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)

Buggy python submission (verdict: Runtime Error):
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*M+k] += A[ind][k]
            
    c = Counter(ans)
    print(c)
    if K in c:
        return c[K]
    else:
        return 0
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)

Fixed submission:
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*N+k] += A[ind][k]
            
    c = Counter(ans)
#     print(c)
    if K in c:
        return c[K]
    else:
        return 0
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)

Buggy python submission (verdict: Runtime Error):
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*M+k] += A[ind][k]
            
    c = Counter(ans)
    if K not in C:
        return 0
    else:
        return c[K]
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)

Fixed submission:
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*N+k] += A[ind][k]
            
    c = Counter(ans)
#     print(c)
    if K in c:
        return c[K]
    else:
        return 0
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)

Buggy python submission (verdict: Runtime Error):
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*M+k] += A[ind][k]
            
    c = Counter(ans)
    return c[K]
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)

Fixed submission:
H, W, K = map(int, input().split())
C = []
for i in range(H):
    c = str(input())
    C.append(c)
from itertools import combinations
from collections import Counter

def subsets(nums):
    n = len(nums)
    out = []
    for i in range(n+1):
        subout = []
        comb(nums, i, subout)
        out += subout
    return out

def comb(seq, k, out):
    _comb(seq, len(seq), k, 0, [], out)

def _comb(seq, n, k, i, elem, out):
    le = len(elem)
    if le == k:
        out.append(elem)
        return
    for i in range(i, n):
        _comb(seq, n, k, i+1, elem + [seq[i]], out)

def powset(H, W, K, C):
    X = subsets(list(range(W)))
    N = len(X)
    A = []
    for j in range(H):
        a = [0]*N
        for k in range(N):
            for ind in X[k]:
                if C[j][ind] == '#':
                    a[k] += 1
        A.append(a)
    Y = subsets(list(range(H)))
    M = len(Y)
    ans = [0]*(N*M)
    for k in range(N):
        for l in range(M):
            for ind in Y[l]:
                ans[l*N+k] += A[ind][k]
            
    c = Counter(ans)
#     print(c)
    if K in c:
        return c[K]
    else:
        return 0
        

def Main(H, W, K, C):
    return powset(H, W, K, C)
                    
out = Main(H, W, K, C)
print(out)