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

    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

    1. 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?
    2. 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?
    3. 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?
    4. 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?
    5. Peter has 6 shirts, 3 neck ties and 4 trousers for a party. In how many ways can he dress up himself?
    Answer key
    1. 40 ways
    2. 72 ways
    3. 120 ways
    4. 8 ways
    5. 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 Personalized Online Tutoring

    Tutoring Package Validity Grade (1-12), College
    5 sessions 21 Days $114
    1 session 21 Days $24
    10 sessions 2 months $219
    15 sessions 3 months $319
    20 sessions 3 months $409
    50 sessions 6 months $949
    100 sessions 10 months $1849

    IN THE NEWS

    ©2021 eTutorWorld           Terms of use            Privacy Policy            Site by Little Red Bird          

    ©2021 eTutorWorld
    Terms of use
    Privacy Policy
    Site by Little Red Bird

    MAKE USE OF THE FIRST SALE OF 2021

     

    ♦ Coupon JAN10 for a 10% Discount on all Tutoring Packs

    ♦ Coupon TEST20 for a 20% Discount on all SCAT, SSAT, CogAT & Enrichment Online Practice Packs

    You have Successfully Subscribed!