In [1]:

    

import itertools


    

In [4]:

    

posibles = list(itertools.permutations(range(1,6)))


    

In [5]:

    

posibles


    

    
Out[5]:





[(1, 2, 3, 4, 5),
 (1, 2, 3, 5, 4),
 (1, 2, 4, 3, 5),
 (1, 2, 4, 5, 3),
 (1, 2, 5, 3, 4),
 (1, 2, 5, 4, 3),
 (1, 3, 2, 4, 5),
 (1, 3, 2, 5, 4),
 (1, 3, 4, 2, 5),
 (1, 3, 4, 5, 2),
 (1, 3, 5, 2, 4),
 (1, 3, 5, 4, 2),
 (1, 4, 2, 3, 5),
 (1, 4, 2, 5, 3),
 (1, 4, 3, 2, 5),
 (1, 4, 3, 5, 2),
 (1, 4, 5, 2, 3),
 (1, 4, 5, 3, 2),
 (1, 5, 2, 3, 4),
 (1, 5, 2, 4, 3),
 (1, 5, 3, 2, 4),
 (1, 5, 3, 4, 2),
 (1, 5, 4, 2, 3),
 (1, 5, 4, 3, 2),
 (2, 1, 3, 4, 5),
 (2, 1, 3, 5, 4),
 (2, 1, 4, 3, 5),
 (2, 1, 4, 5, 3),
 (2, 1, 5, 3, 4),
 (2, 1, 5, 4, 3),
 (2, 3, 1, 4, 5),
 (2, 3, 1, 5, 4),
 (2, 3, 4, 1, 5),
 (2, 3, 4, 5, 1),
 (2, 3, 5, 1, 4),
 (2, 3, 5, 4, 1),
 (2, 4, 1, 3, 5),
 (2, 4, 1, 5, 3),
 (2, 4, 3, 1, 5),
 (2, 4, 3, 5, 1),
 (2, 4, 5, 1, 3),
 (2, 4, 5, 3, 1),
 (2, 5, 1, 3, 4),
 (2, 5, 1, 4, 3),
 (2, 5, 3, 1, 4),
 (2, 5, 3, 4, 1),
 (2, 5, 4, 1, 3),
 (2, 5, 4, 3, 1),
 (3, 1, 2, 4, 5),
 (3, 1, 2, 5, 4),
 (3, 1, 4, 2, 5),
 (3, 1, 4, 5, 2),
 (3, 1, 5, 2, 4),
 (3, 1, 5, 4, 2),
 (3, 2, 1, 4, 5),
 (3, 2, 1, 5, 4),
 (3, 2, 4, 1, 5),
 (3, 2, 4, 5, 1),
 (3, 2, 5, 1, 4),
 (3, 2, 5, 4, 1),
 (3, 4, 1, 2, 5),
 (3, 4, 1, 5, 2),
 (3, 4, 2, 1, 5),
 (3, 4, 2, 5, 1),
 (3, 4, 5, 1, 2),
 (3, 4, 5, 2, 1),
 (3, 5, 1, 2, 4),
 (3, 5, 1, 4, 2),
 (3, 5, 2, 1, 4),
 (3, 5, 2, 4, 1),
 (3, 5, 4, 1, 2),
 (3, 5, 4, 2, 1),
 (4, 1, 2, 3, 5),
 (4, 1, 2, 5, 3),
 (4, 1, 3, 2, 5),
 (4, 1, 3, 5, 2),
 (4, 1, 5, 2, 3),
 (4, 1, 5, 3, 2),
 (4, 2, 1, 3, 5),
 (4, 2, 1, 5, 3),
 (4, 2, 3, 1, 5),
 (4, 2, 3, 5, 1),
 (4, 2, 5, 1, 3),
 (4, 2, 5, 3, 1),
 (4, 3, 1, 2, 5),
 (4, 3, 1, 5, 2),
 (4, 3, 2, 1, 5),
 (4, 3, 2, 5, 1),
 (4, 3, 5, 1, 2),
 (4, 3, 5, 2, 1),
 (4, 5, 1, 2, 3),
 (4, 5, 1, 3, 2),
 (4, 5, 2, 1, 3),
 (4, 5, 2, 3, 1),
 (4, 5, 3, 1, 2),
 (4, 5, 3, 2, 1),
 (5, 1, 2, 3, 4),
 (5, 1, 2, 4, 3),
 (5, 1, 3, 2, 4),
 (5, 1, 3, 4, 2),
 (5, 1, 4, 2, 3),
 (5, 1, 4, 3, 2),
 (5, 2, 1, 3, 4),
 (5, 2, 1, 4, 3),
 (5, 2, 3, 1, 4),
 (5, 2, 3, 4, 1),
 (5, 2, 4, 1, 3),
 (5, 2, 4, 3, 1),
 (5, 3, 1, 2, 4),
 (5, 3, 1, 4, 2),
 (5, 3, 2, 1, 4),
 (5, 3, 2, 4, 1),
 (5, 3, 4, 1, 2),
 (5, 3, 4, 2, 1),
 (5, 4, 1, 2, 3),
 (5, 4, 1, 3, 2),
 (5, 4, 2, 1, 3),
 (5, 4, 2, 3, 1),
 (5, 4, 3, 1, 2),
 (5, 4, 3, 2, 1)]

In [6]:

    

len(posibles)


    

    
Out[6]:





120

In [7]:

    

def tres_al_lado_cuatro(elemento):
    for i in range(len(elemento)-1):
        if elemento[i] == 3 and elemento[i+1] == 4:
            return True
        if elemento[i] == 4 and elemento[i+1] == 3:
            return True
    return False


    

In [8]:

    

tres_al_lado_cuatro(posibles[0])


    

    
Out[8]:





True

In [9]:

    

tres_al_lado_cuatro(posibles[1])


    

    
Out[9]:





False

In [10]:

    

proba_tres_al_lado_cuatro = len(list(filter(tres_al_lado_cuatro, posibles)))/len(posibles)


    

In [11]:

    

proba_tres_al_lado_cuatro


    

    
Out[11]:





0.4

In [14]:

    

fichas = list(itertools.combinations_with_replacement(range(7),2))


    

In [15]:

    

fichas


    

    
Out[15]:





[(0, 0),
 (0, 1),
 (0, 2),
 (0, 3),
 (0, 4),
 (0, 5),
 (0, 6),
 (1, 1),
 (1, 2),
 (1, 3),
 (1, 4),
 (1, 5),
 (1, 6),
 (2, 2),
 (2, 3),
 (2, 4),
 (2, 5),
 (2, 6),
 (3, 3),
 (3, 4),
 (3, 5),
 (3, 6),
 (4, 4),
 (4, 5),
 (4, 6),
 (5, 5),
 (5, 6),
 (6, 6)]

In [16]:

    

len(fichas)


    

    
Out[16]:





28

In [17]:

    

tiros = list(itertools.product("cs", repeat=6))


    

In [18]:

    

tiros


    

    
Out[18]:





[('c', 'c', 'c', 'c', 'c', 'c'),
 ('c', 'c', 'c', 'c', 'c', 's'),
 ('c', 'c', 'c', 'c', 's', 'c'),
 ('c', 'c', 'c', 'c', 's', 's'),
 ('c', 'c', 'c', 's', 'c', 'c'),
 ('c', 'c', 'c', 's', 'c', 's'),
 ('c', 'c', 'c', 's', 's', 'c'),
 ('c', 'c', 'c', 's', 's', 's'),
 ('c', 'c', 's', 'c', 'c', 'c'),
 ('c', 'c', 's', 'c', 'c', 's'),
 ('c', 'c', 's', 'c', 's', 'c'),
 ('c', 'c', 's', 'c', 's', 's'),
 ('c', 'c', 's', 's', 'c', 'c'),
 ('c', 'c', 's', 's', 'c', 's'),
 ('c', 'c', 's', 's', 's', 'c'),
 ('c', 'c', 's', 's', 's', 's'),
 ('c', 's', 'c', 'c', 'c', 'c'),
 ('c', 's', 'c', 'c', 'c', 's'),
 ('c', 's', 'c', 'c', 's', 'c'),
 ('c', 's', 'c', 'c', 's', 's'),
 ('c', 's', 'c', 's', 'c', 'c'),
 ('c', 's', 'c', 's', 'c', 's'),
 ('c', 's', 'c', 's', 's', 'c'),
 ('c', 's', 'c', 's', 's', 's'),
 ('c', 's', 's', 'c', 'c', 'c'),
 ('c', 's', 's', 'c', 'c', 's'),
 ('c', 's', 's', 'c', 's', 'c'),
 ('c', 's', 's', 'c', 's', 's'),
 ('c', 's', 's', 's', 'c', 'c'),
 ('c', 's', 's', 's', 'c', 's'),
 ('c', 's', 's', 's', 's', 'c'),
 ('c', 's', 's', 's', 's', 's'),
 ('s', 'c', 'c', 'c', 'c', 'c'),
 ('s', 'c', 'c', 'c', 'c', 's'),
 ('s', 'c', 'c', 'c', 's', 'c'),
 ('s', 'c', 'c', 'c', 's', 's'),
 ('s', 'c', 'c', 's', 'c', 'c'),
 ('s', 'c', 'c', 's', 'c', 's'),
 ('s', 'c', 'c', 's', 's', 'c'),
 ('s', 'c', 'c', 's', 's', 's'),
 ('s', 'c', 's', 'c', 'c', 'c'),
 ('s', 'c', 's', 'c', 'c', 's'),
 ('s', 'c', 's', 'c', 's', 'c'),
 ('s', 'c', 's', 'c', 's', 's'),
 ('s', 'c', 's', 's', 'c', 'c'),
 ('s', 'c', 's', 's', 'c', 's'),
 ('s', 'c', 's', 's', 's', 'c'),
 ('s', 'c', 's', 's', 's', 's'),
 ('s', 's', 'c', 'c', 'c', 'c'),
 ('s', 's', 'c', 'c', 'c', 's'),
 ('s', 's', 'c', 'c', 's', 'c'),
 ('s', 's', 'c', 'c', 's', 's'),
 ('s', 's', 'c', 's', 'c', 'c'),
 ('s', 's', 'c', 's', 'c', 's'),
 ('s', 's', 'c', 's', 's', 'c'),
 ('s', 's', 'c', 's', 's', 's'),
 ('s', 's', 's', 'c', 'c', 'c'),
 ('s', 's', 's', 'c', 'c', 's'),
 ('s', 's', 's', 'c', 's', 'c'),
 ('s', 's', 's', 'c', 's', 's'),
 ('s', 's', 's', 's', 'c', 'c'),
 ('s', 's', 's', 's', 'c', 's'),
 ('s', 's', 's', 's', 's', 'c'),
 ('s', 's', 's', 's', 's', 's')]

In [19]:

    

dados = list(itertools.product(range(1,7), repeat=3))


    

In [20]:

    

dados


    

    
Out[20]:





[(1, 1, 1),
 (1, 1, 2),
 (1, 1, 3),
 (1, 1, 4),
 (1, 1, 5),
 (1, 1, 6),
 (1, 2, 1),
 (1, 2, 2),
 (1, 2, 3),
 (1, 2, 4),
 (1, 2, 5),
 (1, 2, 6),
 (1, 3, 1),
 (1, 3, 2),
 (1, 3, 3),
 (1, 3, 4),
 (1, 3, 5),
 (1, 3, 6),
 (1, 4, 1),
 (1, 4, 2),
 (1, 4, 3),
 (1, 4, 4),
 (1, 4, 5),
 (1, 4, 6),
 (1, 5, 1),
 (1, 5, 2),
 (1, 5, 3),
 (1, 5, 4),
 (1, 5, 5),
 (1, 5, 6),
 (1, 6, 1),
 (1, 6, 2),
 (1, 6, 3),
 (1, 6, 4),
 (1, 6, 5),
 (1, 6, 6),
 (2, 1, 1),
 (2, 1, 2),
 (2, 1, 3),
 (2, 1, 4),
 (2, 1, 5),
 (2, 1, 6),
 (2, 2, 1),
 (2, 2, 2),
 (2, 2, 3),
 (2, 2, 4),
 (2, 2, 5),
 (2, 2, 6),
 (2, 3, 1),
 (2, 3, 2),
 (2, 3, 3),
 (2, 3, 4),
 (2, 3, 5),
 (2, 3, 6),
 (2, 4, 1),
 (2, 4, 2),
 (2, 4, 3),
 (2, 4, 4),
 (2, 4, 5),
 (2, 4, 6),
 (2, 5, 1),
 (2, 5, 2),
 (2, 5, 3),
 (2, 5, 4),
 (2, 5, 5),
 (2, 5, 6),
 (2, 6, 1),
 (2, 6, 2),
 (2, 6, 3),
 (2, 6, 4),
 (2, 6, 5),
 (2, 6, 6),
 (3, 1, 1),
 (3, 1, 2),
 (3, 1, 3),
 (3, 1, 4),
 (3, 1, 5),
 (3, 1, 6),
 (3, 2, 1),
 (3, 2, 2),
 (3, 2, 3),
 (3, 2, 4),
 (3, 2, 5),
 (3, 2, 6),
 (3, 3, 1),
 (3, 3, 2),
 (3, 3, 3),
 (3, 3, 4),
 (3, 3, 5),
 (3, 3, 6),
 (3, 4, 1),
 (3, 4, 2),
 (3, 4, 3),
 (3, 4, 4),
 (3, 4, 5),
 (3, 4, 6),
 (3, 5, 1),
 (3, 5, 2),
 (3, 5, 3),
 (3, 5, 4),
 (3, 5, 5),
 (3, 5, 6),
 (3, 6, 1),
 (3, 6, 2),
 (3, 6, 3),
 (3, 6, 4),
 (3, 6, 5),
 (3, 6, 6),
 (4, 1, 1),
 (4, 1, 2),
 (4, 1, 3),
 (4, 1, 4),
 (4, 1, 5),
 (4, 1, 6),
 (4, 2, 1),
 (4, 2, 2),
 (4, 2, 3),
 (4, 2, 4),
 (4, 2, 5),
 (4, 2, 6),
 (4, 3, 1),
 (4, 3, 2),
 (4, 3, 3),
 (4, 3, 4),
 (4, 3, 5),
 (4, 3, 6),
 (4, 4, 1),
 (4, 4, 2),
 (4, 4, 3),
 (4, 4, 4),
 (4, 4, 5),
 (4, 4, 6),
 (4, 5, 1),
 (4, 5, 2),
 (4, 5, 3),
 (4, 5, 4),
 (4, 5, 5),
 (4, 5, 6),
 (4, 6, 1),
 (4, 6, 2),
 (4, 6, 3),
 (4, 6, 4),
 (4, 6, 5),
 (4, 6, 6),
 (5, 1, 1),
 (5, 1, 2),
 (5, 1, 3),
 (5, 1, 4),
 (5, 1, 5),
 (5, 1, 6),
 (5, 2, 1),
 (5, 2, 2),
 (5, 2, 3),
 (5, 2, 4),
 (5, 2, 5),
 (5, 2, 6),
 (5, 3, 1),
 (5, 3, 2),
 (5, 3, 3),
 (5, 3, 4),
 (5, 3, 5),
 (5, 3, 6),
 (5, 4, 1),
 (5, 4, 2),
 (5, 4, 3),
 (5, 4, 4),
 (5, 4, 5),
 (5, 4, 6),
 (5, 5, 1),
 (5, 5, 2),
 (5, 5, 3),
 (5, 5, 4),
 (5, 5, 5),
 (5, 5, 6),
 (5, 6, 1),
 (5, 6, 2),
 (5, 6, 3),
 (5, 6, 4),
 (5, 6, 5),
 (5, 6, 6),
 (6, 1, 1),
 (6, 1, 2),
 (6, 1, 3),
 (6, 1, 4),
 (6, 1, 5),
 (6, 1, 6),
 (6, 2, 1),
 (6, 2, 2),
 (6, 2, 3),
 (6, 2, 4),
 (6, 2, 5),
 (6, 2, 6),
 (6, 3, 1),
 (6, 3, 2),
 (6, 3, 3),
 (6, 3, 4),
 (6, 3, 5),
 (6, 3, 6),
 (6, 4, 1),
 (6, 4, 2),
 (6, 4, 3),
 (6, 4, 4),
 (6, 4, 5),
 (6, 4, 6),
 (6, 5, 1),
 (6, 5, 2),
 (6, 5, 3),
 (6, 5, 4),
 (6, 5, 5),
 (6, 5, 6),
 (6, 6, 1),
 (6, 6, 2),
 (6, 6, 3),
 (6, 6, 4),
 (6, 6, 5),
 (6, 6, 6)]

In [21]:

    

cartones = list(itertools.combinations(range(1,26), 14))


    

In [22]:

    

len(cartones)


    

    
Out[22]:





4457400

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