
    In an adaptive learning platform, develop a function that analyzes student assessment patterns by counting all possible sequences of 2n questions where students score the same number of correct answers in the first n questions as in the last n questions. Each question response is binary (correct/incorrect), and the analysis helps determine if learning progress remains consistent throughout the assessment.
    

    
def count_binary_seq(n):
    """
    In an adaptive learning platform, develop a function that analyzes student assessment patterns by counting all possible sequences of 2n questions where students score the same number of correct answers in the first n questions as in the last n questions. Each question response is binary (correct/incorrect), and the analysis helps determine if learning progress remains consistent throughout the assessment.
    

    """
def count_binary_seq(n):
    """
    In an adaptive learning platform, develop a function that analyzes student assessment patterns by counting all possible sequences of 2n questions where students score the same number of correct answers in the first n questions as in the last n questions. Each question response is binary (correct/incorrect), and the analysis helps determine if learning progress remains consistent throughout the assessment.
    

    """
    nCr = 1
    res = 1
    for r in range(1, n + 1):
        nCr = nCr * (n + 1 - r) / r
        res += nCr * nCr
    return res