### Questions (26)

 5 How many $5$ card poker hands contain at least $1$ red and $1$ black card? 3 Why is $O(\log(\log(n)))$ upper bound $\Theta(\log(n))$? 2 How would I find the characteristic equation of this Recurrence Relation? 2 Using the Binomial Identity, prove that ${n\choose k}+2{n\choose k+1}+{n\choose k+2}={n+2\choose k+2}$ 2 What is the probability that the sum of two dice rolls is a multiple of $3$?

### Reputation (443)

 +10 How would I find the characteristic equation of this Recurrence Relation? +10 What Is the Probability of at Least $2$ Heads (Not Neccessarily Consecutive) Will Appear When a Coin is Flipped $9$ Times? +30 Why is $O(\log(\log(n)))$ upper bound $\Theta(\log(n))$? +10 How many $5$ card poker hands contain at least $1$ red and $1$ black card?

 1 How does $a_{n+1}-2a_n=2a_{n-1}$?

### Tags (24)

 1 combinatorics × 26 0 permutations × 9 1 recurrence-relations × 8 0 inclusion-exclusion × 5 1 sequences-and-series × 5 0 factorial × 4 1 homogeneous-equation × 2 0 binomial-coefficients × 4 0 combinations × 11 0 probability × 3