3men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical dna). these 3 armadillos are completely indistinguishable from each other (a) how many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) how many ways can they all line up if none of the men are adjacent to each other?