Answer:
(a) This is just `8` people being arranged in a row: `8! = 40,320` (b) Regard the `2` boys as one "unit" and so there are `7` "units" to arrange. This can be done `7! = 5040` ways. The boys can be arranged in `2! = 2` ways, so the required answer is `7! × 2! = 10,080` (c) There are only `2` possibilities: the boys are together or they are not.
Step-by-step explanation: