In how many ways can they line up so that no two geese are standing next to one another? (There is always at least one duck between any two geese.) In how many ways can they line up so that every goose is standing next to exactly one other goose?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 5SC: In how many ways can 5 people stand in a line if one person demands to be first?
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Discrete Math:

Suppose there are 10 ducks and 6 geese that are lined up in a single row. Look at the image attached below to answer the questions.

 

 

a. In how many ways can they line up so that no two geese are standing next to one another? (There is
always at least one duck between any two geese.)
b. In how many ways can they line up so that every goose is standing next to exactly one other goose?
Transcribed Image Text:a. In how many ways can they line up so that no two geese are standing next to one another? (There is always at least one duck between any two geese.) b. In how many ways can they line up so that every goose is standing next to exactly one other goose?
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There are 10 ducks and 6 geese.

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ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
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Cengage Learning