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### Questions (10)

 4 Counting the numbers between $1$ and $1,000,000$ whose digits sum to $30$ 4 Solving the limit of integrals $\lim\limits_{q \to 0}\int_0^1{1\over{qx^3+1}} \, \operatorname{d}\!x$ 4 If $Ax=B$ has two solution, then there must be a third one? 3 Determining the size of power sets 2 How many numbers between 1 and 10,000,000 don't have the sequence 12? Inclusion-exclusion problem

### Reputation (118)

 +20 Counting the numbers between $1$ and $1,000,000$ whose digits sum to $30$ +10 How many numbers between 1 and 10,000,000 don't have the sequence 12? Inclusion-exclusion problem +5 A small question: Defining integrals with two variables is 'allowed'? +5 Let $(a,b)$ and $(c,d)$ be intervals in $\Bbb R$, and find an injective and surjective function from $(a,b)$ to $(c,d)$

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### Tags (11)

 0 discrete-mathematics × 4 0 sequences-and-series 0 calculus × 4 0 inclusion-exclusion 0 combinatorics × 2 0 binomial-coefficients 0 functions 0 matrices 0 limits 0 vector-spaces

### Account (1)

 Mathematics 118 rep 4