(a)The Avengers (Iron Man, Thor, Captain America, The Hulk, Black Widow, and Hawkeye) are dramatically posing left-to-right for a movie poster. How many unique leftto-right arrangements are there?
(b)The Avengers are traveling to a shawarma restaurant in two cars: a two-seat convertible and a four-seat SUV. How many possibilities are there for which Avengers travel in which car?
(c)Assuming that each outcome in the above scenario is equally likely, what is the probability that the 3 cool Avengers (Iron Man, Thor, and The Hulk) are all in the same car?
(d)Repeat parts (b) and (c), now assuming that the Avengers travel to the shawarma restaurant in 2 four-seat SUVs (that is, two seats will be empty).