**Problem Statement:**In a mathematical competition, there were twenty-one girls and twenty-one boys. It was found that:(a) Each contestant solved at most six problems.(b) For each pair of a girl and a boy, there was at least one problem that both of them solved.**Objective:**Prove that there is a problem that was solved by at least three girls and at least three boys.**Explanation:**To solve this problem, it's crucial to analyze the conditions given and understand the constraints. The goal is to demonstrate the existence of a particular problem that is commonly solved by a minimum of three girls and three boys, adhering to the competition rules. This involves logical reasoning and potentially using techniques from combinatorics or graph theory.

Given Information: Number of girls in a mathematical competition is 21 Number of boys in a…

Answered: I'wenty-one girls and twenty-one boys…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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