Please HELP show me how are those done A group of friends are planning a movie n
ID: 3125583 • Letter: P
Question
Please HELP show me how are those done
A group of friends are planning a movie night. They can choose between 55 films of four genres. They have 11 horror films, 13 comedy films, 14 romance films, and 17 action films. The movie night will be a program (ordered list) consisting of four movies. (a) How many programs are possible if the first film is a horror film, the second is a comedy film, the third is a romance film, and the fourth is an action film? ll K 13 x 14 34034 t) How many programs are possible if the first film is a horror film, but the comedy, romance and action films can be either second, third or fourth (in any order)? 3403 (c) How many programs are possible if any 4 (out of 55) films can be listed and the genres are ignored? S5 x 54 x 52 52 818S320 Ai, Bob, Carl, and Dan have formed a band consisting of 4 parts: a vocalist, an electric guitarist, a bass guitarist, and a drummer (note that there are two guitarists total). How many formations are possible if there are no restrictions on who can be in which part? ntr-se k an answer 4x4 lo How many formations are possible if Al and Bob both have to be guitarists? How many formations are possible if Al and Bob cannot both be guitarists? That is, neither of them are the guitarists, Al but not Bob is a guitarist, or Bob but not Al is a guitarist For partial credit, work out each of these cases as well, or use the complement.Explanation / Answer
3.
A)
There are
11*13*14*17 = 34034 ways [ANSWER]
****************
b)
The last 3 movie can be permuted in 3! = 6 ways, so there are
34034*6 = 204204 ways [ANSWER]
****************
c)
As order matters, we use permutations.
Hence, there are
55P4 = 55!/(55-4)! = 8185320 ways [ANSWER]
*******************************************
Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!