MathDB
Picking balls

Source: LIMIT 2020 Cat 1 Obj P16

May 2, 2020
combinatoricslimit

Problem Statement

A box contains 2828 red balls, 2020 green balls, 1919 yellow balls, 1313 blue balls, 1111 white balls and 99 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that atleast 1515 balls of a single colour will be drawn?