Difference between revisions of "2011 AMC 10A Problems/Problem 22"
Jamesshin97 (talk | contribs) (Created page with '== Problem 22 == Each vertex of convex pentagon ABCDE is to be assigned a color. There are 6 colors to choose from, and the ends of each diagonal must have different colors. How …') |
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== Problem 22 == | == Problem 22 == | ||
| − | Each vertex of convex pentagon ABCDE is to be assigned a color. There are 6 colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible? | + | Each vertex of convex pentagon <math>ABCDE</math> is to be assigned a color. There are <math>6</math> colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible? |
<math> \textbf{(A)}\ 2520\qquad\textbf{(B)}\ 2880\qquad\textbf{(C)}\ 3120\qquad\textbf{(D)}\ 3250\qquad\textbf{(E)}\ 3750 </math> | <math> \textbf{(A)}\ 2520\qquad\textbf{(B)}\ 2880\qquad\textbf{(C)}\ 3120\qquad\textbf{(D)}\ 3250\qquad\textbf{(E)}\ 3750 </math> | ||
Revision as of 21:58, 12 February 2011
Problem 22
Each vertex of convex pentagon 
is to be assigned a color. There are 
colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?
