Math Problem Statement

An ice cream shop offers 27 different flavors of ice cream and 6 different toppings. Answer questions​ (a) through​ (d) using the appropriate counting technique​ (multiplication principle, arrangements with​ repetitions, permutations, or​ combinations). Explain why you chose the particular technique. Question content area bottom Part 1 a. How many different sundaes can you create using one of the ice cream flavors and one of the​ toppings? What counting technique will you use to make this​ calculation? A. Arrangements with repetitions because there are r selections from a group of n choices and you can repeat choices. B. The multiplication principle because there are M possible outcomes for one group and N outcomes for the other group. Your answer is correct.C. Combinations because the selections come from a single group of items and the order of the arrangement does not matter. D. Permutations because the selections come from a single group of items and the order of the arrangement matters. Part 2 You can create enter your response here different sundaes. ​(Type a whole​ number.)

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Multiplication Principle
Combinatorics

Formulas

Total combinations = number of flavors × number of toppings

Theorems

Multiplication Principle

Suitable Grade Level

Grades 9-12