

from math import factorial
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     int   ,      SCREAMING_SNAKE_CASE__      :     int				)							->				int:





				'''simple docstring'''






				if n < k or k < 0:
								raise ValueError('Please enter positive integers for n and k where n >= k'				)
				return factorial(SCREAMING_SNAKE_CASE__				) // (factorial(SCREAMING_SNAKE_CASE__				) * factorial(n - k				))


if __name__ == "__main__":
					print(
					    "The number of five-card hands possible from a standard",
					    f"""fifty-two card deck is: {combinations(52, 5)}\n""",
					)

					print(
					    "If a class of 40 students must be arranged into groups of",
					    f"""4 for group projects, there are {combinations(40, 4)} ways""",
					    "to arrange them.\n",
					)

					print(
					    "If 10 teams are competing in a Formula One race, there",
					    f"""are {combinations(10, 3)} ways that first, second and""",
					    "third place can be awarded.",
					)




import random
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     list   ,      SCREAMING_SNAKE_CASE__      :     str				)							->				tuple:





    '''simple docstring'''






    A__				,						A__				,						A__   				=       [], [], []
    for element in data:
        if element < pivot:
            less.append(SCREAMING_SNAKE_CASE__				)
        elif element > pivot:
            greater.append(SCREAMING_SNAKE_CASE__				)
        else:
            equal.append(SCREAMING_SNAKE_CASE__				)
    return less, equal, greater

def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     list   ,      SCREAMING_SNAKE_CASE__      :     int				)							->				str:





    '''simple docstring'''






    if index >= len(SCREAMING_SNAKE_CASE__				) or index < 0:
        return None

    A__   				=       items[random.randint(0   ,      len(SCREAMING_SNAKE_CASE__				) - 1				)]
    A__   				=       0
    A__				,						A__				,						A__   				=       _partition(SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__				)
    A__   				=       len(SCREAMING_SNAKE_CASE__				)
    A__   				=       len(SCREAMING_SNAKE_CASE__				)

    # index is the pivot
    if m <= index < m + count:
        return pivot
    # must be in smaller
    elif m > index:
        return quick_select(SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__				)
    # must be in larger
    else:
        return quick_select(SCREAMING_SNAKE_CASE__   ,      index - (m + count)				)

