An ice cream store stocks 30 different flavors and offers a rainbow banana-boat split that contains 3 scoops of ice cream, each of a different flavor. On a banana boat, they put one scoop of ice cream on the left, one scoop in the middle, and one scoop on the right of the banana boat.

How many different rainbow splits can the store advertise?

Question

High School

Answer :

**Food Handler Essentials** **Final Test Question: 8** When are food workers required

Yogeshkumari Yogeshkumari · Answer 1 · 2024-07-04T22:49:07-04:00

The total number of different rainbow splits an ice cream store can advertise as per the 30 different flavors equals 24,360.

Total number of different flavors present in the ice cream store is equal to 30

Number of different scoop of ice cream used to make rainbow banana-boat-split is equal to 3

Total number of different rainbow splits ice cream store can advertise

= ³⁰P₃

= ( 30! ) / ( 30 - 3 )!

= 30 × 29 × 28 × 27! / 27!

= 30 × 29 × 28

= 24, 360

Therefore, the number of different rainbow splits can be advertised by ice cream store is equal to 24,360.

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