I am not able to apply this in the formula.I tried putting in the catalan formula but it is for(n,n) you are allowed to move up and down. you can touch the diagonal but can't cross it.
2026-03-25 13:56:19.1774446979
What are the number of paths from $(1, 0)$ to $(7, 6)$ without crossing the diagonal?
297 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in PERMUTATIONS
- A weird automorphism
- List Conjugacy Classes in GAP?
- Permutation does not change if we multiply by left by another group element?
- Validating a solution to a combinatorics problem
- Selection of at least one vowel and one consonant
- How to get the missing brick of the proof $A \circ P_\sigma = P_\sigma \circ A$ using permutations?
- Probability of a candidate being selected for a job.
- $S_3$ action on the splitting field of $\mathbb{Q}[x]/(x^3 - x - 1)$
- Expected "overlap" between permutations of a multiset
- Selecting balls from infinite sample with certain conditions
Related Questions in COMBINATIONS
- Selection of "e" from "e"
- Selection of at least one vowel and one consonant
- Probability of a candidate being selected for a job.
- Proving that no two teams in a tournament win same number of games
- Selecting balls from infinite sample with certain conditions
- Divide objects in groups so that total sum of sizes in a group are balanced across groups
- Value of n from combinatorial equation
- Number of binary sequences with no consecutive ones.
- Count probability of getting rectangle
- Sum of all numbers formed by digits 1,2,3,4 & 5.
Related Questions in CATALAN-NUMBERS
- Powers of a simple matrix and Catalan numbers
- Catalan number variation? or generalization?
- Generalization for Catalan number
- Valid parentheses of multiple types with given suffix
- A bijection between Motzkin paths and 3-colored signed Dyck path homomorphs
- extracting Catalan numbers from its generating function (binomial theorem)
- Formula for Generalized Catalan Numbers
- Question in proving a recurrence relation for Catalan numbers
- What is the expansion of $\sqrt{1+ux+vx^2}$ in powers of $x$?
- Catalan Numbers and Geometric Series Combo
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?
You are moving six cells up and six cells right. Assuming the diagonal of interest is from $(1,0)$ to $(7,6)$ your problem is the classic one with the Catalan number solution, just positioned one cell up on the lattice. If the diagonal of interest is from $(0,0)$ to $(6,6)$ there are more possibilities. You would have to think about how many ways there are to touch the diagonal below.