# The Counting Principle

## Grade 7 Math Worksheets

The basic counting principle states that if there are *X* ways to do one thing and *Y* ways to do another, then there are *X *× *Y* ways of doing both.

Similarly, if there are *X* ways to do one thing and *Y* ways to do the second one, and *Z* ways to do the third one, then there are *X *× *Y* × *Z* ways of doing all three.

Read here how to Calculate mean, median, mode, and range

### Schedule a Free session to clear worksheet doubts

*No credit card required, no obligation to purchase. *

*Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!*

*Example:*There are 6 pink kites and 4 yellow kites. Daniel wants to choose 2 kites – 1 pink and the other of yellow color. In how many ways can Daniel choose the kites?The Counting Principle states that we multiply the number of choices to find the total number of possibilities.

So, number of ways Daniel can choose the kites = 6 × 4 = **24 ways**

*Example:* Isabelle wants to order frozen yoghurt. If there are 5 different flavours of yoghurt and 14 different toppings to choose from, then in how many different ways can Isabelle place her order?

Number of ways Isabelle can place her order = 5 × 14 = **70 ways**

**Check Point**

- Sandy wants to buy flowers for his friend. There are 5 colors of roses, 4 colors of lilies, and 2 types of orchids. In how many ways can Sandy choose 3 flowers of each type?
- A kitchen garden shop has 6 types of floral plants and 12 plants of different vegetables. Hebrew wants to buy one floral plant and one plant from vegetables. In how many ways can he choose the 2 plants?
- Shawna’s doll has 6 different dresses, 5 sandals and 4 colors of hairs, which are detachable and can be replaced. In how many ways can Shawna dress up her doll?
- Millie’s grandmother bought 2 types of bread and made 4 types of fillings for sandwiches. In how many different ways can her grandmother make sandwiches?
- Peter has 6 shirts, 3 neck ties and 4 trousers for a party. In how many ways can he dress up himself?

##### Answer key

- 40 ways
- 72 ways
- 120 ways
- 8 ways
- 72 ways

## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a **FREE Demo Session**.

*No credit card required, no obligation to purchase. *

*Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!*

## Pricing for Online Tutoring

Tutoring Package | Validity | Grade (1-12), College |
---|---|---|

5 sessions | 1 Month | $129 |

1 session | 1 Month | $26 |

10 sessions | 3 months | $249 |

15 sessions | 3 months | $369 |

20 sessions | 4 months | $469 |

50 sessions | 6 months | $1099 |

100 sessions | 12 months | $2099 |

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

Home

Tutoring

Test Prep

Worksheets

Pricing

About Us

Blog

Free Class

Login

Terms of service

Privacy Policy

Money Back Guarantee

Technical requirements

FAQs

Job Opportunities

Sitemap

**Connect with us**

+1-269-763-4602

+1-269-763-5024

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird