5. An English Christmas carol entitled "The Twelve Days of Christmas" enumerates a series of increasingly grand gifts given on each of the twelve days of Christmas. These gifts in sequential order are known to be (12) Twelve Drummers Drumming, (11) Eleven Pipers Piping, (10) Lords-a-Leaping, (9) Nine Ladies Dancing, (8) Eight Maids-a-Milking, (7) Seven Swans-a-Swimming, (6) Six, Geese-a-Laying, (5) Five Golden Rings, (4) Four Calling Birds, (3) Three French Hens, (2) Two Turtle Doves, and a Partridge in a Pear Tree.
5. An English Christmas carol entitled "The Twelve Days of Christmas" enumerates a series of increasingly grand gifts given on each of the twelve days of Christmas. These gifts in sequential order are known to be (12) Twelve Drummers Drumming, (11) Eleven Pipers Piping, (10) Lords-a-Leaping, (9) Nine Ladies Dancing, (8) Eight Maids-a-Milking, (7) Seven Swans-a-Swimming, (6) Six, Geese-a-Laying, (5) Five Golden Rings, (4) Four Calling Birds, (3) Three French Hens, (2) Two Turtle Doves, and a Partridge in a Pear Tree.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Transcribed Image Text:5. An English Christmas carol
entitled "The Twelve Days of
Christmas" enumerates a series
of increasingly grand gifts given
on each of the twelve days of
Christmas. These gifts in
sequential order are known to be
(12) Twelve Drummers
Drumming, (11) Eleven Pipers
Piping, (10) Lords-a-Leaping, (9)
Nine Ladies Dancing, (8) Eight
Maids-a-Milking, (7) Seven
Swans-a-Swimming, (6) Six,
Geese-a-Laying, (5) Five Golden
Rings, (4) Four Calling Birds, (3)
Three French Hens, (2) Two
Turtle Doves, and a Partridge in a
Pear Tree.
Assuming that at the end of the
twelve days of Christmas, all
accumulated gift items given
each day can be put together in
one place and that each gift item
is equally likely to be selected
and individually packed (e.g. two
turtle doves are 2 separate gift
items, three French hens are
three individual gift items, and so
on). Suppose you'll have to
randomly select 5 gift items
without replacement from the
total number of gift items
received, what is the probability
that you will get the following gift
items: one turtle dove, one
French hen, and three drummers
drumming?
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