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- ...y)</math> which both <math>x</math> and <math>y</math> are elements in the set <math>\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}</math>, <math>x</math> and < What can be a description of the set of solutions for this: <math>x^{2}+y^{2}=|2x+|2y||</math>?14 KB (2,226 words) - 23:39, 12 September 2021
- ...y)</math> which both <math>x</math> and <math>y</math> are elements in the set <math>\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}</math>, <math>x</math> and < We can begin by converting all the elements in the set to Modular of <math>5</math>. Then, we realize that all possible elements t1 KB (186 words) - 02:05, 15 June 2021
- ...n \leq 1000</math>. Let <math>M_n</math> be the number of integers in the set Find the number of elements in the set7 KB (1,225 words) - 03:05, 4 May 2024
- ...ts</math>, <math> a_m</math> be <math> m</math> different numbers from the set <math> \{1, 2,\ldots, n\}</math> such that for any two indices <math> i</ma ...ger <math>k</math>, let <math>f(k)</math> be the number of elements in the set3 KB (545 words) - 14:01, 19 April 2024
- Consider the set of complex numbers <math>z</math> satisfying <math>|1+z+z^{2}|=4</math>. Th How many ordered pairs of positive real numbers <math>(a,b)</math> satisfy the equation15 KB (2,168 words) - 05:11, 4 February 2024
- Let S be a finite set of positive integers. Assume that there are precisely 2023 ordered pairs (x, y) in S × S so that the product xy is a perfect square. Prove th431 bytes (70 words) - 11:48, 1 November 2023
- Find the number of [[elements]] in the [[set]] Finding the no. of [[elements]] in the [[set]] means finding no. of [[ordered pairs]] of (<math>a</math>, <math>b</math>)2 KB (299 words) - 02:48, 4 May 2024
- For any finite non empty set X of integers, let max(X) denote the largest element of X and |X| denote the number of elements in X . If N is the number of ordered368 bytes (72 words) - 01:02, 27 October 2023
- Note that there are only <math>3</math> primes in the set <math>\{1,2,3,4,5,6\}</math>: <math>2,3,</math> and <math>5</math>. Thus if ...in this scenario because there is only one factor of <math>5</math> in the set. Because of this, having <math>j</math> fives in our prime factorization of13 KB (2,194 words) - 19:10, 18 December 2023
- ...ts in the plane, no three of which lie on the same line. At most how many ordered triples of points <math>(A,B,C)</math> in <math>R</math> exist such that <m878 bytes (151 words) - 02:42, 3 January 2024
- ...partition of <math>\left\{ 1, 2, \cdots , n \right\}</math> (we allow one set to be empty). ...<math>{\rm gcd} \left( z, z-1 \right) = 1</math>, there must exist such an ordered partition, such that <math>P_A | z</math> and <math>P_{\bar A} | z-1</math>4 KB (682 words) - 17:07, 2 May 2024
- ...rn. Once the first blank row is chosen, the rest of the blank rows must be ordered similarly. For example, with 2 black chips on the left, there will be 3 bla ...way to place the chips, and every way to place the chips corresponds to a set of rows and columns occupied by the white pieces.6 KB (995 words) - 12:52, 25 March 2024
- ...nct number of red beads. Determine, with proof, all possible values of the ordered pair <math>(m, n)</math>. Note: For a finite set <math>S,|S|</math> denotes the number of elements in <math>S</math>.4 KB (625 words) - 21:00, 23 March 2024
- ...t contains four numbers. The six pairwise sums of distinct elements of the set, in no particular order, are <math>189</math>, <math>320</math>, <math>287< ...number-color combination appears on exactly one card. Sharon will select a set of eight cards from the deck at random. Given that she gets at least one ca13 KB (2,123 words) - 16:51, 27 June 2024
