MathDB
Divide set into 3 subsets

Source: 0

April 23, 2009

Problem Statement

How many ways are there to divide a set with 6 elements into 3 disjoint subsets?
<spanclass=latexbold>(A)</span> 90<spanclass=latexbold>(B)</span> 105<spanclass=latexbold>(C)</span> 120<spanclass=latexbold>(D)</span> 180<spanclass=latexbold>(E)</span> 243<span class='latex-bold'>(A)</span>\ 90 \qquad<span class='latex-bold'>(B)</span>\ 105 \qquad<span class='latex-bold'>(C)</span>\ 120 \qquad<span class='latex-bold'>(D)</span>\ 180 \qquad<span class='latex-bold'>(E)</span>\ 243