English: Four cookies are distributed between Tom, Dick, and Harry in such a way that each gets at least one cookie. The 4 cookies are traditionally represented as "stars" (****). But here, they are shown as cookie-colored circles (●●●●). The 3 gaps between the cookies are indicated by red caret symbols (^ ^ ^). With three people, we need 2 bar symbols (| |) to occupy any two of the three gaps. Hence the problem reduces to finding the binomial coefficient, ${\displaystyle (\genfrac{}{}{0ex}{}{3}{2}),}$ also known as combination "3-choose-2". Also shown are the three corresponding 3-compositions of 4.