gabryaleabila
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

In how many ways can a person order one ice cream cone with 3 different
flavors of ice cream if there are 14 flavors to choose from and it matters to
the person how the 3 flavors are stacked on the one cone? That is, which
flavor is on the top, middle, and bottom.

Sagot :

sqdancefan

Answer:

  2184

Step-by-step explanation:

You want to know the possible number of ways 3 flavors can be chosen from 14 when order matters.

Permutations

The number of permutations of 14 flavors taken 3 at a time is ...

  14 × 13 × 12 = 2184

There are 14 ways to choose the bottom flavor, then 13 ways to choose a different middle flavor, and finally 12 ways to choose a different top flavor. Each flavor can go with any combination of the others, so the total number is the product of 14·13·12, or 2184.

The formula for the number of n things taken k at a time is ...

  P(n, k) + n!/(n-k)!

For n=14, k=3, this is the product shown above.

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.