MathDB
Apples and Bars

Source: 2019 AMC 8 #25

November 19, 2019
2019 AMC 8

Problem Statement

Alice has 24 apples. In how many ways can she share them with Becky and Chris so that each of the people has at least 2 apples?
<spanclass=latexbold>(A)</span>105<spanclass=latexbold>(B)</span>114<spanclass=latexbold>(C)</span>190<spanclass=latexbold>(D)</span>210<spanclass=latexbold>(E)</span>380<span class='latex-bold'>(A) </span>105\qquad<span class='latex-bold'>(B) </span>114\qquad<span class='latex-bold'>(C) </span>190\qquad<span class='latex-bold'>(D) </span>210\qquad<span class='latex-bold'>(E) </span>380