8. An English Christmas carol entitled "The Twelve Days of Christmas" enumerate 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?
8. An English Christmas carol entitled "The Twelve Days of Christmas" enumerate 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?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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