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Here is a list of the main characters in Shakespeare's Romeo and Juliet. The first seven
characters are male and the last four are female.
Escalus, prince of Verona
Paris, kinsman to the prince
Romeo, of Montague Household
Mercutio, friend of Romeo
Benvolio, friend of Romeo
Tybalt, nephew to Lady Capulet
Friar Lawrence, a Franciscan
Lady Montague, of Montague Household
Lady Capulet, of Capulet Household
Juliet, of Capulet Household
Juliet's Nurse
A total of 13 male and 7 female actors are available to play these roles. How many possible casts
are there? (All roles are to be played by actors of the same gender as the character.)
I have worked this out multiple times and just can't get it right...please help. I would like the
solution as well as how you came to it if possible.
Solution
We need to combine a choice of 7 out of 13 possible male actors with a choice of 4 out of 7
possible female actors.
13C7 * 7C4
= [13! / (7! 6!)] * [7! / (4! 4!)]
= [13*12*11*10*9*8 / (6*5*4*3*2*1)] * [7*6*5 / (4*3*2*1)]
= 1716 * 8.75
= 15015 possible casts.
Here is a list of the main characters in Shakespeare-'s Romeo and Juli.docx

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Here is a list of the main characters in Shakespeare-'s Romeo and Juli.docx

  • 1. Here is a list of the main characters in Shakespeare's Romeo and Juliet. The first seven characters are male and the last four are female. Escalus, prince of Verona Paris, kinsman to the prince Romeo, of Montague Household Mercutio, friend of Romeo Benvolio, friend of Romeo Tybalt, nephew to Lady Capulet Friar Lawrence, a Franciscan Lady Montague, of Montague Household Lady Capulet, of Capulet Household Juliet, of Capulet Household Juliet's Nurse A total of 13 male and 7 female actors are available to play these roles. How many possible casts are there? (All roles are to be played by actors of the same gender as the character.) I have worked this out multiple times and just can't get it right...please help. I would like the solution as well as how you came to it if possible. Solution We need to combine a choice of 7 out of 13 possible male actors with a choice of 4 out of 7 possible female actors. 13C7 * 7C4 = [13! / (7! 6!)] * [7! / (4! 4!)] = [13*12*11*10*9*8 / (6*5*4*3*2*1)] * [7*6*5 / (4*3*2*1)] = 1716 * 8.75 = 15015 possible casts.