
    Design an algorithm for an adaptive learning system that determines the total number of possible ways to organize learning concepts into different study paths, where each concept must be included exactly once and can be grouped with any other concepts. Given n distinct learning concepts, calculate all possible ways these concepts can be partitioned into non-empty groups, allowing the system to create flexible learning paths for different student needs.
    

    
def bell_number(n):
    """
    Design an algorithm for an adaptive learning system that determines the total number of possible ways to organize learning concepts into different study paths, where each concept must be included exactly once and can be grouped with any other concepts. Given n distinct learning concepts, calculate all possible ways these concepts can be partitioned into non-empty groups, allowing the system to create flexible learning paths for different student needs.
    

    """
def bell_number(n):
    """
    Design an algorithm for an adaptive learning system that determines the total number of possible ways to organize learning concepts into different study paths, where each concept must be included exactly once and can be grouped with any other concepts. Given n distinct learning concepts, calculate all possible ways these concepts can be partitioned into non-empty groups, allowing the system to create flexible learning paths for different student needs.
    

    """
    bell = [[0 for i in range(n + 1)] for j in range(n + 1)]
    bell[0][0] = 1
    for i in range(1, n + 1):
        bell[i][0] = bell[i - 1][i - 1]
        for j in range(1, i + 1):
            bell[i][j] = bell[i - 1][j - 1] + bell[i][j - 1]
    return bell[n][0]