Difference between revisions of "2006 AMC 12A Problems/Problem 25"
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<math>(2)</math> If <math>S</math> contains <math>k</math> elements, then <math>S</math> contains no number less than <math>k</math>. | <math>(2)</math> If <math>S</math> contains <math>k</math> elements, then <math>S</math> contains no number less than <math>k</math>. | ||
| − | <math> \mathrm{(A) \ } 277\qquad \mathrm{(B) \ } 311\qquad \mathrm{(C) \ } 376\qquad \mathrm{(D) \ } 377 | + | <math> \mathrm{(A) \ } 277\qquad \mathrm{(B) \ } 311\qquad \mathrm{(C) \ } 376\qquad \mathrm{(D) \ } 377</math><math>\mathrm{(E) \ } 405</math> |
== Solution == | == Solution == | ||
Revision as of 00:13, 11 July 2006
Problem
How many non-empty subsets 
of 
have the following two properties?
No two consecutive integers belong to .
If contains 
elements, then contains no number less than .
