MathDB
2022 A Individual #13

Source:

April 28, 2022
2022 A Individual

Problem Statement

Consider the numbers 11 through 66 numbered on the coins below. Ella takes a coin from each of the three columns. Bella takes a coin from each of the remaining two columns. Cassandra takes the remaining coin. In how many ways could they have taken out the six coins?
[asy] size(100); draw(Circle((0,0),0.45)); label("11",(0,0)); draw(Circle((0,1),0.45)); label("22",(0,1)); draw(Circle((0,2),0.45)); label("33",(0,2)); draw(Circle((1,0),0.45)); label("55",(1,0)); draw(Circle((1,1),0.45)); label("44",(1,1)); draw(Circle((2,0),0.45)); label("66",(2,0)); [/asy] <spanclass=latexbold>(A)</span>9<spanclass=latexbold>(B)</span>12<spanclass=latexbold>(C)</span>15<spanclass=latexbold>(D)</span>18<spanclass=latexbold>(E)</span>20<span class='latex-bold'>(A) </span>9\qquad<span class='latex-bold'>(B) </span>12\qquad<span class='latex-bold'>(C) </span>15\qquad<span class='latex-bold'>(D) </span>18\qquad<span class='latex-bold'>(E) </span>20