Комбинаторика

# 3
res = round((486/2)**(0.2))
print(res)
 
# 2
cnt = 0
for s1 in 'АБВГДЕ':
    for s2 in 'АБВДЕ':
        for s3 in 'АБВДЕ':
            cnt += 1 + (s1=='Г')*4
print(cnt)

from itertools import permutations
 
war_and_peace = ['ВиМ 1', 'ВиМ 2', 'ВиМ 3', 'ВиМ 4']
all_books = ['ВиМ', 'Книга 1', 'Книга 2']
 
war_and_peace = list(permutations(war_and_peace, 4))
all_books = list(permutations(all_books, 3))
cou = 0
 
for books in all_books:
    for volume in war_and_peace:
        for book in books:
            if book == 'ВиМ':
                print(' '.join(volume), end=' ')
            else:
                print(book, end=' ')
        cou += 1
        print()
print (cou)

from itertools import product, filterfalse
 
alfa = ['А', 'О']
while True:
    comb = list(filterfalse(lambda i: i[0] != 'А' and i[0] != 'О', product(alfa, repeat=6)))
    for i in comb:
        print(i)
    print(len(comb))
    if len(comb) == 486:
        break
    alfa += 'Б'
print (f'2 гласных и {len(alfa) - 2} согласных' )

from itertools import product
 
alphabet = 'АБВГДЕ'
words = product(alphabet, repeat=4)
cou = 0
 
for i in words:
    if i.count('Г') == 1 and (i[0] == 'Г' or i[3] == 'Г'):
        print(''.join(i), sep='\n')
        cou += 1
print(cou)