




from math import factorial

def 					UpperCAmelCase_							(      __UpperCAmelCase						:	int			,			__UpperCAmelCase						:	int							)					-> int:

      # If either of the conditions are true, the function is being asked
      # to calculate a factorial of a negative number, which is not possible
      if n < k or k < 0:
            raise ValueError('Please enter positive integers for n and k where n >= k'							)
      return factorial(__UpperCAmelCase							) // (factorial(__UpperCAmelCase							) * 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 warnings

from ...utils import logging
from .image_processing_imagegpt import ImageGPTImageProcessor


lowerCamelCase__ :   List[str]					=							logging.get_logger(__name__)





class        lowerCamelCase_							(      _SCREAMING_SNAKE_CASE					):


 '''simple docstring'''







 def __init__(							self  :		str				,				*_lowerCAmelCase  :		Optional[Any]				,				**_lowerCAmelCase  :		Optional[Any]						):
       warnings.warn(
           'The class ImageGPTFeatureExtractor is deprecated and will be removed in version 5 of Transformers.'
           ' Please use ImageGPTImageProcessor instead.'				,				_lowerCAmelCase				,				)
       super().__init__(*_lowerCAmelCase				,				**_lowerCAmelCase						)