MathDB
Arrangements

Source:

January 2, 2005
countingdistinguishability

Problem Statement

How many distinguishable rearrangements of the letters in CONTEST have both the vowels first? (For instance, OETCNST is a one such arrangements but OTETSNC is not.) <spanclass=latexbold>(A)</span> 60<spanclass=latexbold>(B)</span> 120<spanclass=latexbold>(C)</span> 240<spanclass=latexbold>(D)</span> 720<spanclass=latexbold>(E)</span> 2520 <span class='latex-bold'>(A)</span>\ 60\qquad <span class='latex-bold'>(B)</span>\ 120\qquad <span class='latex-bold'>(C)</span>\ 240\qquad <span class='latex-bold'>(D)</span>\ 720\qquad <span class='latex-bold'>(E)</span>\ 2520