Difference between revisions of "1986 AHSME Problems/Problem 10"
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We find that the 85th combination ends with the letter S. | We find that the 85th combination ends with the letter S. | ||
So the answer is <math>\textbf{(C)}\ S</math>. | So the answer is <math>\textbf{(C)}\ S</math>. | ||
| + | |||
| + | ==Solution 2== | ||
== See also == | == See also == | ||
Revision as of 15:17, 24 February 2016
Contents
Problem
The 
permutations of the 
are arranged in dictionary order as if each were an ordinary five-letter word.
The last letter of the 
th word in this list is:
Solution 1
We could list out all of the possible combinations in dictionary order.
MAEHS
MAESH
MAHES
MAHSE
MASEH
MASHE
MEAHS
MEASH
MEHAS
MEHSA
MESAH
MESHA
MHAES
We find that the 85th combination ends with the letter S.
So the answer is 
.
Solution 2
See also
| 1986 AHSME (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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
