
    Design a system that calculates the number of possible ways a student's performance metrics can be arranged such that exactly m performance indicators are greater than the previous indicator in the sequence, given n total performance indicators being tracked. The result will help identify patterns in student achievement progression across different assessment dimensions and inform early intervention strategies.
    

    
def eulerian_num(n, m):
    """
    Design a system that calculates the number of possible ways a student's performance metrics can be arranged such that exactly m performance indicators are greater than the previous indicator in the sequence, given n total performance indicators being tracked. The result will help identify patterns in student achievement progression across different assessment dimensions and inform early intervention strategies.
    

    """
def eulerian_num(n, m):
    """
    Design a system that calculates the number of possible ways a student's performance metrics can be arranged such that exactly m performance indicators are greater than the previous indicator in the sequence, given n total performance indicators being tracked. The result will help identify patterns in student achievement progression across different assessment dimensions and inform early intervention strategies.
    

    """
    if m >= n or n == 0:
        return 0
    if m == 0:
        return 1
    return (n - m) * eulerian_num(n - 1, m - 1) + (m + 1) * eulerian_num(n - 1, m)