Difference between revisions of "2015 UNCO Math Contest II Problems/Problem 10"
(Created page with "== Problem == <math>\begin{tabular}[t]{|c|c|c|c|}\hline & & & &\hline & & & &\hline \end{tabular}</math> (a) You want to arrange <math>8</math> biologists of <math>8</math> ...") |
|||
| Line 30: | Line 30: | ||
== See also == | == See also == | ||
| − | {{UNCO Math Contest box|year=2015|n=II|num-b= | + | {{UNCO Math Contest box|year=2015|n=II|num-b=9|after=BONUS}} |
[[Category:Intermediate Combinatorics Problems]] | [[Category:Intermediate Combinatorics Problems]] | ||
Revision as of 03:11, 3 February 2015
Problem
$\begin{tabular}[t]{|c|c|c|c|}\hline
& & & &\hline & & & &\hline
\end{tabular}$ (Error compiling LaTeX. Unknown error_msg)
(a) You want to arrange 
biologists of different heights in two rows for a photograph.
Each row must have 
biologists. Height must increase from left to right in each row.
Each person in back must be taller than the person directly in front of him. How many different arrangements are possible?
$\begin{tabular}[t]{|c|c|c|c|c|c|}\hline
& & & & & & \hline & & & & & & \hline
\end{tabular}$ (Error compiling LaTeX. Unknown error_msg)
(b) You arrange 
biologists of different heights in two rows of 
, with the same conditions on height as in part (a).
How many different arrangements are possible? Remember to justify your answers.
(c) You arrange 
biologists of different heights in two rows of 
, with the same conditions on height as in part (a).
Give a formula in terms of for the number of possible arrangements.
Solution
See also
| 2015 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by BONUS | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
