Math Problem Statement

Like you know how many ways to get to point 7,5 from 0,0 without going through point 3,4

Solution

To calculate the number of ways to get to (7,5)(7,5) from (0,0)(0,0) without passing through (3,4)(3,4), we use combinatorics and the concept of paths in a grid.


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Math Problem Analysis

Mathematical Concepts

Combinatorics
Grid Paths
Permutations and Combinations

Formulas

Number of paths in a grid: C(m+n, n) = (m+n)! / (m! * n!)
Inclusion-Exclusion Principle

Theorems

Binomial Coefficient Theorem

Suitable Grade Level

Grades 9-12