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counting and probability intermediate

Problem

A senate committee has 5 Republicans and 4 Democrats. In how many ways can the committee members sit in a row of 9 chairs, such that all 4 Democrats sit together?
Solution
If we consider the group of Democrats as one person, then there are ways to arrange the 6 people (the 5 Republicans and the one Democrat group). Then there are ways to arrange arranging the 4 Democrats within their group. So the number of arrangements is .
Final answer
17,\!280