Ask Question
12 March, 21:53

7. The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you'd like. How many different possible mixtures can you make now (remember, you have 13 flavors available to you and you must choose 6?

+5
Answers (1)
  1. 12 March, 23:24
    0
    The different possible mixtures can you make is 1716.

    Step-by-step explanation:

    Given that,

    The total number of flavors available in the shop = 13 flavors The number of flavors you need to choose = 6 flavors

    Here, we have to use the formula for combination,

    nCr = n! / r! * (n-r) !

    where,

    n is the total number of flavors r is the number of flavors you need to choose

    ⇒ 13C6 = 13! / 6! * (13-6) !

    ⇒ 13! / (6! * 7!)

    ⇒ 13 * 12 * 11 * 10 * 9 * 8 * 7! / (6! * 7!)

    ⇒ 13 * 12 * 11 * 10 * 9 * 8 / 6!

    ⇒ 13 * 12 * 11 * 10 * 9 * 8 / 6 * 5 * 4 * 3 * 2 * 1

    ⇒ 1716

    Therefore, you can 1716 different possible mixtures.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “7. The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you'd like. How many ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers