I have a question for one of my CSI classes and I've never been taught the material before so I'm completely stuck. The problem asks to take a set of 12 positive integers (not necessarily distinct) from 1-150 and prove that there are two different subsets of 6 integers such that the sums are equal. Any help with this would be greatly appreciated
2026-04-03 23:00:41.1775257241
Pigeonhole Principle problem regarding a set of numbers and two subsets
85 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in DISCRETE-MATHEMATICS
- What is (mathematically) minimal computer architecture to run any software
- What's $P(A_1\cap A_2\cap A_3\cap A_4) $?
- The function $f(x)=$ ${b^mx^m}\over(1-bx)^{m+1}$ is a generating function of the sequence $\{a_n\}$. Find the coefficient of $x^n$
- Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$
- Given a function, prove that it's injective
- Surjective function proof
- How to find image of a function
- Find the truth value of... empty set?
- Solving discrete recursion equations with min in the equation
- Determine the marginal distributions of $(T_1, T_2)$
Related Questions in PIGEONHOLE-PRINCIPLE
- Is it possible to make a computer network of 75 computers
- Pigeonhole principle: prove that a class of 21 has at least 11 male or 11 female students.
- Proving that a set of 2016 natural numbers contain a non-empty set with a sum divisible by 2016
- Question on proof of Erdos and Szekeres
- Pigeon Hole Principle Proof integrated with sets
- # of vertices and # of connected components proof problem?
- Prove that any collection of 8 distinct integers contains distinct x and y such that x - y is divisible by 7.
- Hint for problem on $4 \times 7$-chessboard problem related to pigeonhole principle
- Pigeonhole principle subsets
- $80$ balls in a row. $50$ of them are yellow and $30$ are blue. Prove that there are at least $2$ blue balls with a distance of exactly $3$ or $6$.
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Hints.
A. In how many ways can you pick 6 number out of 12?
B. The sum of 6 numbers from the set $\{1,2,\ldots,150\}$, how big can be?