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...

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.

Extracted 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?