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MichaelS

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Questions (11)

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21	Combinatorial proof of $\sum\limits_{k=0}^n {n \choose k}3^k=4^n$
18	What is the fastest way to multiply two digit numbers?
9	How many ways to divide group of 12 people into 2 groups of 3 people and 3 groups of 2 people?
6	How many ways dividing $n$ balls into $3$ buckets with limitations?
3	Find $\sum\limits_{k=\frac{n+1}{2}}^n{n \choose k}$ closed form

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Reputation (803)

+40	Combinatorial proof of $\sum\limits_{k=0}^n {n \choose k}3^k=4^n$
+10	How many ways to assemble a team of 5 out of 15 girls and 10 boys with limitations?
+50	What is the fastest way to multiply two digit numbers?
+10	How to prove that the union of two subspaces must be subsets of each other?

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Tags (12)

0 combinatorics × 5	0 generating-functions
0 linear-algebra × 3	0 matrices
0 binomial-coefficients × 2	0 mental-arithmetic
0 combinatorial-proofs	0 recurrence-relations
0 determinant	0 summation

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21	Resources/Books for Discrete Mathematics

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