MichaelS
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### Questions (11)

 12 Combinatorial proof of $\sum\limits_{k=0}^n {n \choose k}3^k=4^n$ 7 Back to basics: What is the fastest way to multiply two digit numbers? 7 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

### Reputation (338)

 +5 How many ways to divide group of 12 people into 2 groups of 3 people and 3 groups of 2 people? +10 Combinatorial proof of $\sum\limits_{k=0}^n {n \choose k}3^k=4^n$ +5 Matrix multiplication proof: $(A+B)^k$ for matrices such that $A^2=B^2=0$ and $AB=BA$ +5 Back to basics: What is the fastest way to multiply two digit numbers?

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### Tags (11)

 0 combinatorics × 5 0 soft-question 0 linear-algebra × 3 0 matrices 0 binomial-coefficients × 2 0 vector-spaces 0 recurrence-relations 0 determinant 0 generating-functions 0 combinatorial-proofs

### Accounts (32)

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