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Calcular las combinaciones de una lista

Un concepto matemático modelado con recursión

deffactorial(n):if n <= 1:
        return1return n * factorial(n-1)

defhow_many_combinations(n, r):return factorial(n) / (factorial(n -r)*factorial(r))

defcalc_combination(items, r, len, start_from):    
    take = r - 1for i in range(start_from, len - take): 
        if r == 1:
            yield [items[i]]
        else:
            item = items[i]
            for j in calc_combination(items, r-1, len, i + 1):
                yield [item] + j

defcombination(items, r):return calc_combination(items, r, len(items), 0)

if __name__ == '__main__':
    print(a, b)
    data = ['A', 'E', 'I', 'O', 'U']
    group = 3
    gen = combination(data, group)
    n = how_many_combinations(len(data), group)
    print(f"The number of combinations are: {n}")
    whileTrue:
        try:
            print(next(gen))
        except StopIteration:
            break```
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31927Puntos

En el post anterior se me paso borrar un print. Lo subo de nuevo

deffactorial(n):if n <= 1:
        return1return n * factorial(n-1)

defhow_many_combinations(n, r):return factorial(n) / (factorial(n -r)*factorial(r))

defcalc_combination(items, r, len, start_from):    
    take = r - 1for i in range(start_from, len - take): 
        if r == 1:
            yield [items[i]]
        else:
            item = items[i]
            for j in calc_combination(items, r-1, len, i + 1):
                yield [item] + j

defcombination(items, r):return calc_combination(items, r, len(items), 0)

if __name__ == '__main__':
    print(a, b)
    data = ['A', 'E', 'I', 'O', 'U']
    group = 3
    gen = combination(data, group)
    n = how_many_combinations(len(data), group)
    print(f"The number of combinations are: {n}")
    whileTrue:
        try:
            print(next(gen))
        except StopIteration:
            break