| Suppose 10 ducks and 6 geese line up in a single row. 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.)

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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In how many ways can they line up so that every goose is standing next to exactly one other goose?
Transcribed Image Text:In how many ways can they line up so that every goose is standing next to exactly one other goose?
| Suppose 10 ducks and 6 geese line up in a single row.
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.)
Transcribed Image Text:| Suppose 10 ducks and 6 geese line up in a single row. 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.)
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