Lesson Plans SET A for Grades 3-4-Homework Level 3-4 Lesson 3- Organized List

Homework Level 3-4 Lesson 3- Organized List

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This document is a homework assignment from a Math Kangaroo class for levels 3-4, featuring five different problems primarily focused on combinatorics and permutations. Here's a brief overview of each problem and the solution:<br /><br />1. **Three-Digit Numbers**: You need to determine the number of three-digit numbers that can be created using the digits 1, 2, 3, and 4 without repetition. The solution provided is 24 possible combinations.<br /><br />2. **Ice Cream Combinations**: Mark wants to create ice cream cones with up to three flavors using vanilla, chocolate, and strawberry. Mark can have various combinations including choosing one, two, or three flavors, leading to a total of 15 different ice cream orders.<br /><br />3. **Train Sequences**: Vlad has four differently colored trains: red, green, blue, and yellow, with the condition that the yellow train must always be next to the red train. This condition creates specific arrangements, and Vlad can create 12 different sequences.<br /><br />4. **Page Numbers**: Timothy is trying to determine the maximum number of pages his journal can have, noting that the number 6 appears 18 times in the page numbers. The solution to this problem indicates he can write up to 85 pages.<br /><br />5. **Tennis Team Selection**: A coach has to choose some players for a tournament from 4 team members, with the requirement that exactly 2 players are selected. The number of ways the coach can choose 2 players is 6 combinations.<br /><br />Each problem tests different mathematical concepts involving permutations, combinations, and logical arrangements. The provided answers help validate the solutions to ensure understanding of these mathematical principles.

Keywords

Math Kangaroo

combinatorics

permutations

three-digit numbers

ice cream combinations

train sequences

page numbers

tennis team selection

mathematical concepts

homework assignment