### Questions (24)

 6 How many k-digit numbers are both divisible by 3 and include the digit 3? 2 Rook Polynomials with Symmetrical Overlap (Count Permutations Restricted by Distance) 2 How many arrangements of $s$ selections from $r$ possibilities have at least one skip backwards? 2 How to count the number of paths from (0,0) to (n,n) where N, E, and k NE diagonals are allowed? 2 The number of distinct multiples of composites greater than $n$ that can be factored into two naturals less than or equal to $n$

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 4 A 10-digit number whose $n$th digit gives the number of $(n-1)$s in it 2 Number of 1's among all partitions of an integer 2 What is the meaning of the negative numbers? 1 How to Find Solution to this Question using Modular Arithmetic 0 Proof that the number of 1's in $P(n)$ equals the number of distinct magnitudes in $P(n)$

### Tags (22)

 4 elementary-number-theory × 5 2 generating-functions 4 decimal-expansion 0 algebra-precalculus × 6 3 number-theory × 7 0 discrete-mathematics × 4 2 combinatorics × 12 0 permutations × 2 2 integer-partitions × 2 0 polynomials × 2

### Bookmarks (8)

 7 Is the number transcendental? 7 Proof that the number of 1's in $P(n)$ equals the number of distinct magnitudes in $P(n)$ 5 IMO 2015 #1: “Balanced” and “Centre-Free” sets of points in the plane [closed] 5 Solutions for $a^2+b^2+c^2=d^2$ 4 sum of primes squared equals a prime squared