Answer: Rows of stars (4-5-4 or 3-2-3-2-3) were common, but many other variations also existed. The new Stars and Stripes formed part of the military colours carried on September 11, 1777, at the Battle of the Brandywine, perhaps its first such use. U.S. flag commonly attributed to Betsy Ross The U.S. flag commonly attributed to Betsy Ross. In the context of combinatorial mathematics, stars and bars is a graphical aid for deriving certain combinatorial theorems. It was popularized by William Feller in his classic book on probability. It can be used to solve many simple counting problems, such as how many ways there are to put n indistinguishable balls into k distinguishable bins.
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