Question

9. Lucia is going on vacation. She
has 1 pair of shorts, two t-shirts, and 3
pairs of shoes. What are all the
possible outfit combinations she can
make if she needs to wear one short,
one shirt, and one pair of shoes each
day?

Answers

  1. If she can reuse clothing: She would then have 3 outfit combinations.
    If she can’t reuse clothing: She would then have 1 outfit combination.
    Step-by-step explanation:
    It is known that she has to wear one short, one shirt, and one pair of shoes each day.
    If she can reuse her shorts and shirts:
    Day 1: one short, one shirt, and one pair of shoes. (Well, this leaves her with one shirt and two pairs of shoes.)
    Day 2: one short, one shirt, and one pair of shoes. (This is the thinking that she can reuse her clothing. Now, she is left with one pair of shoes.)
    Day 3: one short, one shirt, and one pair of shoes. (Also thinking she can reuse clothing. Now she has completely used all her shorts, shirts, and shoes.
    If she can’t reuse:
    Day 1: one short, one shirt, and one pair of shoes. However, now she is left with one shirt and two pairs of shoes that she didn’t use because she can’t reuse the shorts.
    In conclusion, if she can reuse the shorts and shirts, she will have three different combinations. If she can’t reuse them, she will have one outfit combination.
    Have a great day! God bless! 🙂

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  2. If  she can reuse the shorts and shirts, then she will have three different combinations. If she can’t reuse them, then she will have one outfit combination.

    What is the combination?

    Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
    Lucia has to wear one short, one shirt, and one pair of shoes each day.
    If she can reuse her shorts and shirts:
    Day 1: 1 short, 1 shirt, and 1 pair of shoes. (Well, this leaves her with one shirt and two pairs of shoes.)
    Day 2: 1 short, 1 shirt, and 1 pair of shoes. (This is the thinking that she can reuse her clothing she is left with one pair of shoes.)
    Day 3:1 short, 1 shirt, and 1 pair of shoes. Also thinking she can reuse clothing.  she has completely used all her shorts, shirts, and shoes.
    If she can’t reuse:
    Day 1: 1 short, 1 shirt, and 1 pair of shoes. However she is left with one shirt and two pairs of shoes that she didn’t use because she can’t reuse the shorts.
    Therefore, if she can reuse the shorts and shirts, then she will have three different combinations. If she can’t reuse them, then she will have one outfit combination.
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