4
choices

8.
1/1 points
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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
14
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.)
240240
casts
9.
1/1 points
| Previous AnswersWaneFM6 6.3.057.
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Submissions Used
The World Almanac
†
features a "perpetual calendar," a collection of 14 possible calendars.
Does this suffice to be sure there is a calendar for every conceivable year?
YesNo

Why?
There are 365 choices for the day in a regular year and 366 choices for the day in a leap year.
The total number of calendars is 731.There are 7 choices for the day of January 1
st
and 2
choices for the year (leap or non-leap). The total number of calendars is 7
∙
2 =
14. There are 7 choices for the day of January 1
st
and 2 choices for the year (leap or
non-leap). The total number of calendars is 7 + 2 = 9.There are 12 choices for the
months, and 2 choices for the year (leap or non-leap). The total number of calendars is
12
∙
2 = 24.There are 12 choices for the months, and 2 choices for the year (leap or non-
leap). The total number of calendars is 12 + 2 = 14.
10.
1/1 points
| Previous AnswersWaneFM6 6.3.058.
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How many possible calendars are there that have February
7
falling on a Sunday,
Monday,
or Tuesday
?
6
calendars
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