from itertools import product

count = 0

for p in product("МАН­ГУСТ", repeat=6):

if p.count("М") == 2 and p[0]!="А" and p.count("У") >=1:

count+=1

print(count)

a = {0: "М", 1: "А", 2: "Н", 3: "Г", 4: "У", 5: "С", 6: "Т"}

count = 0

for i in range(0, len(a)):

for j in range(0, len(a)):

for g in range(0, len(a)):

for m in range(0, len(a)):

for n in range(0, len(a)):

for t in range(0, len(a)):

s = a[i] + a[j] + a[g] + a[m] + a[n] + a[t]

if a[i] != 'А' and s.count('М') == 2 and s.count('У') >=1:

count += 1

print(count)