Difference between revisions of "2012 AMC 10B Problems/Problem 22"
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==Problem 22= | ==Problem 22= | ||
| − | Let (<math>a_1</math>, <math>a_2</math>, ... <math>a_10</math>) be a list of the first 10 positive integers such that for each <math>2\le</math> <math>i</math> <math>\le10</math> either <math> | + | Let (<math>a_1</math>, <math>a_2</math>, ... <math>a_10</math>) be a list of the first 10 positive integers such that for each <math>2\le</math> <math>i</math> <math>\le10</math> either <math>a_i + 1</math> or <math>a_i-1</math> or both appear somewhere before <math>ai</math> in the list. How many such lists are there? |
<math>\textbf{(A)}\ \120\qquad\textbf{(B)}\512\qquad\textbf{(C)}\ \1024\qquad\textbf{(D)}\ 181,440\qquad\textbf{(E)}\ \362,880</math> | <math>\textbf{(A)}\ \120\qquad\textbf{(B)}\512\qquad\textbf{(C)}\ \1024\qquad\textbf{(D)}\ 181,440\qquad\textbf{(E)}\ \362,880</math> | ||
Revision as of 00:03, 24 December 2012
=Problem 22
Let (
, 
, ... 
) be a list of the first 10 positive integers such that for each 
either 
or 
or both appear somewhere before 
in the list. How many such lists are there?
$\textbf{(A)}\ \120\qquad\textbf{(B)}\512\qquad\textbf{(C)}\ \1024\qquad\textbf{(D)}\ 181,440\qquad\textbf{(E)}\ \362,880$ (Error compiling LaTeX. Unknown error_msg)
