Buggy python submission (verdict: Runtime Error):
import sys
from collections import deque
import copy
import math
def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def is_tasai(S):
    appare_set = set([])
    for s in S:
        if s in appare_set:
            return False
        appare_set.add(s)
    return True

table = {}
def comb(n, r):
    if (n, r) in table:
        return table[(n, r)]
    if n == r:
        table[(n, r)] = 1L
        return 1L
    if r == 0:
        table[(n, r)] = 1L
        return 1L
    if n == 0:
        return 0L
    table[(n, r)] = comb(n-1, r-1)+ comb(n-1, r)
    return table[(n, r)]


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N] = [int(input_raw[0])]
    initial_dict = {}
    initial_dict["M"] = 0
    initial_dict["A"] = 0
    initial_dict["R"] = 0
    initial_dict["C"] = 0
    initial_dict["H"] = 0

    for i in range(N):
        input_raw = read_func().strip().split()
        if input_raw[0][0] in initial_dict:
            initial_dict[input_raw[0][0]] += 1
    M = 0
    for s in initial_dict:
        M += initial_dict[s]
    remove_num = 0L
    for s in initial_dict:
        remove_num += comb(initial_dict[s], 2) * (M - initial_dict[s])
        remove_num += comb(initial_dict[s], 3)
    print comb(M, 3) - remove_num


if __name__ == '__main__':
    main()


Fixed submission:
import sys
from collections import deque
import copy
import math
def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def is_tasai(S):
    appare_set = set([])
    for s in S:
        if s in appare_set:
            return False
        appare_set.add(s)
    return True

table = {}
def comb(n, r):
    a = 1L
    b = 1L
    for i in range(r):
        a *= n - i
        b *= r - i
    return a/b

##    if (n, r) in table:
##        return table[(n, r)]
##    if n == r:
##        table[(n, r)] = 1L
##        return 1L
##    if r == 0:
##        table[(n, r)] = 1L
##        return 1L
##    if n == 0:
##        return 0L
##    table[(n, r)] = comb(n-1, r-1)+ comb(n-1, r)
##    return table[(n, r)]


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N] = [int(input_raw[0])]
    initial_dict = {}
    initial_dict["M"] = 0
    initial_dict["A"] = 0
    initial_dict["R"] = 0
    initial_dict["C"] = 0
    initial_dict["H"] = 0

    for i in range(N):
        input_raw = read_func().strip().split()
        if input_raw[0][0] in initial_dict:
            initial_dict[input_raw[0][0]] += 1
    M = 0
    for s in initial_dict:
        M += initial_dict[s]
    remove_num = 0L
    for s in initial_dict:
        remove_num += comb(initial_dict[s], 2) * (M - initial_dict[s])
        remove_num += comb(initial_dict[s], 3)
    print comb(M, 3) - remove_num


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
import sys
from collections import deque
import copy
import math
def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def is_tasai(S):
    appare_set = set([])
    for s in S:
        if s in appare_set:
            return False
        appare_set.add(s)
    return True

table = {}
def comb(n, r):
    if (n, r) in table:
        return table[(n, r)]
    if n == r:
        table[(n, r)] = 1L
        return 1L
    if r == 0:
        table[(n, r)] = 1L
        return 1L
    if n == 0:
        return 0L
    table[(n, r)] = comb(n-1, r-1)+ comb(n-1, r)
    return table[(n, r)]


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N] = [int(input_raw[0])]
    initial_dict = {}
    initial_dict["M"] = 0
    initial_dict["A"] = 0
    initial_dict["R"] = 0
    initial_dict["C"] = 0
    initial_dict["H"] = 0

    for i in range(N):
        input_raw = read_func().strip().split()
        if input_raw[0][0] in initial_dict:
            initial_dict[input_raw[0][0]] += 1
    M = 0
    for s in initial_dict:
        M += initial_dict[s]
    remove_num = 0
    for s in initial_dict:
        remove_num += comb(initial_dict[s], 2) * (M - 2)
    print comb(M, 3) - remove_num



if __name__ == '__main__':
    main()


Fixed submission:
import sys
from collections import deque
import copy
import math
def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def is_tasai(S):
    appare_set = set([])
    for s in S:
        if s in appare_set:
            return False
        appare_set.add(s)
    return True

table = {}
def comb(n, r):
    a = 1L
    b = 1L
    for i in range(r):
        a *= n - i
        b *= r - i
    return a/b

##    if (n, r) in table:
##        return table[(n, r)]
##    if n == r:
##        table[(n, r)] = 1L
##        return 1L
##    if r == 0:
##        table[(n, r)] = 1L
##        return 1L
##    if n == 0:
##        return 0L
##    table[(n, r)] = comb(n-1, r-1)+ comb(n-1, r)
##    return table[(n, r)]


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N] = [int(input_raw[0])]
    initial_dict = {}
    initial_dict["M"] = 0
    initial_dict["A"] = 0
    initial_dict["R"] = 0
    initial_dict["C"] = 0
    initial_dict["H"] = 0

    for i in range(N):
        input_raw = read_func().strip().split()
        if input_raw[0][0] in initial_dict:
            initial_dict[input_raw[0][0]] += 1
    M = 0
    for s in initial_dict:
        M += initial_dict[s]
    remove_num = 0L
    for s in initial_dict:
        remove_num += comb(initial_dict[s], 2) * (M - initial_dict[s])
        remove_num += comb(initial_dict[s], 3)
    print comb(M, 3) - remove_num


if __name__ == '__main__':
    main()