14. Identify the following as either a Permutation or a Combination. Then answer the question. Show your work on your worksheet when solving. Do not just put the answer into your calculator.

a. Sara is setting a new code for her garage. The keypad has the numbers 0-9 to choose from, and she needs to set a 4-digit passcode and cannot use the same number more than once in a code. How many different codes can she possibly set?

Combination
Permutation

b. A team of 3 students is to be formed out of 6 students. How many ways can the team be formed?

Combination
Permutation

c. In how many ways can 3 pizza toppings be selected from a group of 12 toppings?

Combination
Permutation

Permutations involve ordered arrangements with unique items, while combinations involve selection without order. Understanding these concepts is crucial for solving arrangement and selection problems.

Explanation:

Permutations refer to ordered arrangements where each item is unique, while combinations involve selection without regard to the order. Understanding the difference is essential for solving problems involving arranging or selecting items.

Permutations involve factorial calculations to determine the total number of arrangements, while combinations use formulas that account for selections without order.

For Sara's passcode, since she can't repeat numbers and order matters, it involves permutations. The team formation and pizza topping selection questions involve combinations due to the focus on selection without order.

Learn more about Permutations and Combinations here:

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