Here is a list of the main characters in Shakespeare's Romeo and Juliet. The first 7 characters are male and the last 4 are female.
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Escalus, prince of Verona
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Paris, kinsman to the prince
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Romeo, of Montague Household
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Mercutio, friend of Romeo
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Benvolio, friend of Romeo
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Tybalt, nephew to Lady Capulet
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Friar Lawrence, a Franciscan
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Lady Montague, of Montague Household
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Lady Capulet, of Capulet Household
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Juliet, of Capulet Household
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Juliet's Nurse
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A total of 8 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.)
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A. 88 casts
B. 2,101,248 casts
C. 42,000 casts
D. 1,792 casts
E. 67,737,600 casts


Answer: E

Mathematics

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