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Priya's favorite singer has made 6 albums containing 75 songs in total. Priya wants to make a playlist of 10 of those songs, and she won't repeat 1 of the 75 songs.
The permutation formula 
nPr can be used to find the number of unique ways Priya can pick and arrange the songs for the playlist.
What are the appropriate values of 
n and 
r ?

{:[n=],[r=]:}

Priya's favorite singer has made 66 albums containing 7575 songs in total. Priya wants to make a playlist of 1010 of those songs, and she won't repeat 11 of the 7575 songs.\newlineThe permutation formula nPr n \mathrm{Pr} can be used to find the number of unique ways Priya can pick and arrange the songs for the playlist.\newlineWhat are the appropriate values of n n and r r ?\newlinen=r= \begin{array}{l} n= \\ r= \end{array}

Full solution

Q. Priya's favorite singer has made 66 albums containing 7575 songs in total. Priya wants to make a playlist of 1010 of those songs, and she won't repeat 11 of the 7575 songs.\newlineThe permutation formula nPr n \mathrm{Pr} can be used to find the number of unique ways Priya can pick and arrange the songs for the playlist.\newlineWhat are the appropriate values of n n and r r ?\newlinen=r= \begin{array}{l} n= \\ r= \end{array}
  1. Identify Total Number: To use the permutation formula nPrnPr, we need to identify the total number of items to choose from, which is represented by nn, and the number of items to choose, which is represented by rr. In this case, Priya has a total of 7575 songs to choose from, so nn equals the total number of songs.
  2. Determine Number of Songs: The value of rr represents the number of songs Priya wants to include in her playlist. Since Priya wants to make a playlist of 1010 songs, rr equals the number of songs she wants to pick.
  3. Fill Permutation Formula: Now that we have identified the values of nn and rr, we can fill in the appropriate values for the permutation formula. The value of nn is 7575, and the value of rr is 1010.

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