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
(a)
(b)
(c)
See Also
2008 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
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Followed by Last Question | |
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All UNCO Math Contest Problems and Solutions |