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
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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
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