Difference between revisions of "2008 UNCO Math Contest II Problems/Problem 10"
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Revision as of 14:34, 26 November 2016
Problem
Let
be the number of ways of splitting
people into
groups, each of size
. As an example,
the
people
can be split into
groups:
and
Hence
(a) Compute
and
(b) Conjecture a formula for
(c) Let
be the number of ways of splitting
into
subsets of size
.
Compute
and conjecture a formula for
Solution
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See Also
| 2008 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||