






"""simple docstring"""
import math

_lowerCAmelCase         =							10
_lowerCAmelCase         =							7
_lowerCAmelCase         =							BALLS_PER_COLOUR * NUM_COLOURS






def 			__UpperCamelCase	(		snake_case__ = 20					):
	A_		:						str	    =   math.comb(snake_case__   ,   snake_case__					)
	A_		:						Union[str, Any]	    =   math.comb(NUM_BALLS - BALLS_PER_COLOUR   ,   snake_case__					)

	A_		:						Dict	    =   NUM_COLOURS * (1 - missing_colour / total)

	return F"""{result:.9f}"""


if __name__ == "__main__":
							print(solution(20))









"""simple docstring"""
import os


# All paths are set with the intent you should run this script from the root of the repo with the command
# python utils/check_doctest_list.py
_lowerCAmelCase         =							"."


if __name__ == "__main__":
							_lowerCAmelCase         =							os.path.join(REPO_PATH, "utils/documentation_tests.txt")
							_lowerCAmelCase         =							[]
							_lowerCAmelCase         =							[]
							with open(doctest_file_path) as fp:
														for line in fp:
																					_lowerCAmelCase         =							line.strip()
																					_lowerCAmelCase         =							os.path.join(REPO_PATH, line)
																					if not (os.path.isfile(path) or os.path.isdir(path)):
																												non_existent_paths.append(line)
																					all_paths.append(path)
							if len(non_existent_paths) > 0:
														_lowerCAmelCase         =							"\n".join(non_existent_paths)
														raise ValueError(F'`utils/documentation_tests.txt` contains non-existent paths:\n{non_existent_paths}')
							if all_paths != sorted(all_paths):
														raise ValueError("Files in `utils/documentation_tests.txt` are not in alphabetical order.")

