Difference between revisions of "2012 AMC 10B Problems/Problem 11"

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<math> \textbf{(A)}\ 729\qquad\textbf{(B)}\ 972\qquad\textbf{(C)}\ 1024\qquad\textbf{(D)}\ 2187\qquad\textbf{(E)}\2304 </math>
 
<math> \textbf{(A)}\ 729\qquad\textbf{(B)}\ 972\qquad\textbf{(C)}\ 1024\qquad\textbf{(D)}\ 2187\qquad\textbf{(E)}\2304 </math>
  
[[2012 AMC 10B Problems/Problem 11|Solution]]
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== Solution ==
  
 
<math>\boxed{\textbf{(A)}\ 729}</math>
 
<math>\boxed{\textbf{(A)}\ 729}</math>

Revision as of 19:09, 25 February 2012

Problem 11

A dessert chef prepares the dessert for every day of a week starting with Sunday. The dessert each day is either cake, pie, ice cream, or pudding. The same dessert may not be served two days in a row. There must be cake on Friday because of a birthday. How many different dessert menus for the week are possible?

$\textbf{(A)}\ 729\qquad\textbf{(B)}\ 972\qquad\textbf{(C)}\ 1024\qquad\textbf{(D)}\ 2187\qquad\textbf{(E)}\2304$ (Error compiling LaTeX. ! Undefined control sequence.)

Solution

$\boxed{\textbf{(A)}\ 729}$

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