def multinomLog2(selectors):
    """
    Function calculates logarithm 2 of a kind of multinom.

    selectors: list of integers
    """

    ln2 = 0.69314718055994528622
    noAll = sum(selectors)
    lgNf = math.lgamma(noAll + 1.0) / ln2  # log2(N!)

    lgnFac = []
    for selector in selectors:
        if selector == 0 or selector == 1:
            lgnFac.append(0.0)
        elif selector == 2:
            lgnFac.append(1.0)
        elif selector == noAll:
            lgnFac.append(lgNf)
        else:
            lgnFac.append(math.lgamma(selector + 1.0) / ln2)
    return lgNf - sum(lgnFac)