Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 998 views

    Differentiates Permutation From Combination of N Objects Taken R at A Time

    Uploaded by

    Katherine Lee
    This document differentiates between permutation and combination when choosing objects. Permutation considers order important as it arranges objects in a specific order like choosing positions. Combination does not consider order as it arranges objects without regard for order like choosing items for a group. Examples are provided to demonstrate whether problems involve permutation or combination based on whether order matters in the selection.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd

    Differentiates Permutation From Combination of N Objects Taken R at A Time

    Uploaded by

    Katherine Lee
    998 views9 pages
    This document differentiates between permutation and combination when choosing objects. Permutation considers order important as it arranges objects in a specific order like choosing positions. Combination does not consider order as it arranges objects without regard for order like choosing items for a group. Examples are provided to demonstrate whether problems involve permutation or combination based on whether order matters in the selection.

    Original Description:

    Original Title

    Differentiates Permutation From Combination of n Objects Taken r at a Time

    Copyright

    © © All Rights Reserved

    Available Formats

    PPTX, PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    This document differentiates between permutation and combination when choosing objects. Permutation considers order important as it arranges objects in a specific order like choosing positions. Combination does not consider order as it arranges objects without regard for order like choosing items for a group. Examples are provided to demonstrate whether problems involve permutation or combination based on whether order matters in the selection.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    998 views9 pages

    Differentiates Permutation From Combination of N Objects Taken R at A Time

    Uploaded by

    Katherine Lee
    This document differentiates between permutation and combination when choosing objects. Permutation considers order important as it arranges objects in a specific order like choosing positions. Combination does not consider order as it arranges objects without regard for order like choosing items for a group. Examples are provided to demonstrate whether problems involve permutation or combination based on whether order matters in the selection.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    of 9

    DIFFERENTIATES

    PERMUTATION FROM
    COMBINATION OF n OBJECTS
    TAKEN r AT A TIME
    Permutation – the amount of ways to arrange n things in a specific
    order.
    difference
    rank ⇒1st, 2nd, 3rd

    Combination – the number of ways to arrange n things without


    regard for order.

    same no difference
    Examples:
    1. If we have three different pairs of pants, 2 different shirts, and
    four different pairs of shoes. How many outfit possibilities are
    there?
    3 ⦁ 2 ⦁ 4 = 24 outfits to wear
    pants shirts shoes

    What is it? Permutation or Combination?


    2. Given the letters A, B, C, and D, how many ways are there to choose
    two of them?

    B
    A B C D
    C
    D D A D A C
    A C B B
    AB AC AD BA BC BD CA CB CD DA DB DC = 12
    There are 12 ways if order is important, but analyze the problem, is
    there a need for order ?
    What is problem #2? Is it permutation or combination?
    3. There are four people in an election. We must choose two of them.
    One will be president and one will be vice president. How many
    ways are there to choose them?
    Look at this problem, is it permutation or combination?
    There are 2 different position needed from 4 people, therefore the
    problem is Permutation.

    4 ⦁ 3 = 12 ways to choose a president and a vice


    Pres. VP
    president
    4. There are 4 people in an election for city council. In how
    many ways can we choose two of them for this council?
    • In
      the problem, is there a difference in electing a councilman?
    No, there is no difference, because the position is for councilor, who
    ever is chosen they are all councilors.
    Therefore, it is a Combination.

    4 ⦁ 3 = = 6 ways to choose for two city councilor


    5. A company advertises two job openings. Both are general facility
    maintenance with the same salary and job description. In how
    many ways can the positions be filled if 10 people apply?

     
    This is Combination.

    10 ⦁ 9 = = 45 ways to filled the positions


    6. There are 4 people in an election. We must choose three of them.
    One will be president, one will be vice president, and one will be
    treasurer. How many ways are there to choose them?
    This a Permutation, because there is a difference of position.
    4 ⦁ 3 ⦁ 2 = 24 ways to select them

    Let us make this as a Combination.


    There are 4 people in an election for city council. In how many ways
    can we choose three of them for this council?
    Thank you!

    You might also like