Difference between revisions of "2015 AMC 10A Problems/Problem 10"
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How many rearrangements of <math>abcd</math> are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either <math>ab</math> or <math>ba</math>. | How many rearrangements of <math>abcd</math> are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either <math>ab</math> or <math>ba</math>. | ||
| − | <math> \textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D) | + | <math> \textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D)}\ 3\qquad\textbf{(E)}\ 4</math> |
| − | |||
==Solution== | ==Solution== | ||
Revision as of 18:31, 31 March 2015
Problem
How many rearrangements of 
are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either 
or 
.
Solution
See Also
| 2015 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
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