2008 UNCO Math Contest II Problems/Problem 10
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
See Also
2008 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Last Question | |
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All UNCO Math Contest Problems and Solutions |