In: Statistics and Probability
Question # 5.
(a) Harry is arranging his spell books on the shelf of his dorm room. He has 6 different books of fire spells, and 5 different books containing ice spells. In how many possible ways can Harry arrange his spell books, if no two books of the same kind can be adjacent?
(b) Ron is arranging his spell books on the shelf of his dorm room. He has 5 different books of fire spells and 5 different books containing ice spells. In how many possible ways can Ron arrange his spell books, if no two books of the same kind can be adjacent?
(c) Hermione is arranging her spell books on the shelf of her dorm room. She has 6 different books of fire spells, 3 different books containing ice spells, and 3 different books for lightning spells. In how many possible ways can Hermione arrange her spell books, if no two books of the same kind can be adjacent?