Question

3. You have downloaded 100 different songs to listen to. Let's say you want to select 99 songs from them and put them on your music playlist. You don't care which song comes first and which one comes next. (30 points total) a) Is this a permutation problem or a combination problem? Explain. (6 points) Combination, because order does not matter. b) Set up a formula using either $n_P_r$ or $n_C_r$ for this problem. (6 points) c) How many ways can you put these 99 songs on your playlist? (6 points) d) If you randomly put these 99 songs on your playlist, what is the probability of Professor Lee's favorite song among them, Ed Sheeran's Photograph, to be on the playlist? (6 points) e) Say you want to choose one book from five different books to read while listening to these songs. What is the number of ways to combine the choices of 99 songs from 100 songs, and a book from this collection of five books? (6 points)

          3. You have downloaded 100 different songs to listen to. Let's say you want to
select 99 songs from them and put them on your music playlist. You don't
care which song comes first and which one comes next. (30 points total)
a) Is this a permutation problem or a combination problem? Explain. (6 points)
Combination, because order does not matter.
b) Set up a formula using either $n_P_r$ or $n_C_r$ for this problem. (6 points)
c) How many ways can you put these 99 songs on your playlist? (6 points)
d) If you randomly put these 99 songs on your playlist, what is the probability of
Professor Lee's favorite song among them, Ed Sheeran's Photograph, to be on
the playlist? (6 points)
e) Say you want to choose one book from five different books to read while
listening to these songs. What is the number of ways to combine the choices
of 99 songs from 100 songs, and a book from this collection of five books?
(6 points)

3. You have downloaded 100 different songs to listen to. Let's say you want to
select 99 songs from them and put them on your music playlist. You don't
care which song comes first and which one comes next. (30 points total)
a) Is this a permutation problem or a combination problem? Explain. (6 points)
Combination, because order does not matter.
b) Set up a formula using either nPr or nCr for this problem. (6 points)
c) How many ways can you put these 99 songs on your playlist? (6 points)
d) If you randomly put these 99 songs on your playlist, what is the probability of
Professor Lee's favorite song among them, Ed Sheeran's Photograph, to be on
the playlist? (6 points)
e) Say you want to choose one book from five different books to read while
listening to these songs. What is the number of ways to combine the choices
of 99 songs from 100 songs, and a book from this collection of five books?
(6 points)

Added by Dawn R.

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