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 11 male and 8 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.)