MathDB
Binomial Expansion

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June 13, 2009

Problem Statement

In the expansion of (a \plus{} b)^n there are n \plus{} 1 dissimilar terms. The number of dissimilar terms in the expansion of (a \plus{} b \plus{} c)^{10} is: <spanclass=latexbold>(A)</span> 11<spanclass=latexbold>(B)</span> 33<spanclass=latexbold>(C)</span> 55<spanclass=latexbold>(D)</span> 66<spanclass=latexbold>(E)</span> 132 <span class='latex-bold'>(A)</span>\ 11\qquad <span class='latex-bold'>(B)</span>\ 33\qquad <span class='latex-bold'>(C)</span>\ 55\qquad <span class='latex-bold'>(D)</span>\ 66\qquad <span class='latex-bold'>(E)</span>\ 132