Ten children (five boys and five girls) are standing in line. Assume that all possible ways in which they might line up are equally likely. a. What is the probability that they appear in line in alphabetical order by name? Please assume no two of the children have the same name. b. What is the probability that all the girls precede all the boys? c. What is the probability that between any two girls there are no boys (i.e., the girls stand together in an uninterrupted block)? d. What is the probability that they alternate by gender in the line? e. What is the probability that neither the boys nor the girls stand together in an uninterrupted block?