Hi! Can someone check my answers? Thanks!!
Directions: Tell whether the following questions are either permutations or combinations.
1.) Number of ways the Junior class can elect a committee of officers - President, Vice President, Secretary and Treasurer. (my answer: combinations)
2.) Number of three-digit pin numbers for a debit card. (my answer: permutations)
3.) Number of different arrangements of three types of flowers from an array of 20 types. (my answer: permutations)
4.) Number of ways 10 people can line up in a row for concert tickets. (my answer: combinations)
isn't 1 permutations? Sometimes it's hard to tell. I would think it is, but you could be right
4 is correct
2 is also correct
1.) Number of ways the Junior class can elect a committee of officers - President, Vice President, Secretary, and Treasurer: This is a combination because the order in which the officers are selected does not matter. The answer is correct.
2.) Number of three-digit pin numbers for a debit card: This is a permutation because the order of the digits matters. The answer is correct.
3.) Number of different arrangements of three types of flowers from an array of 20 types: This is a permutation because the order in which the flowers are arranged matters. The answer is correct.
4.) Number of ways 10 people can line up in a row for concert tickets: This is a permutation because the order in which the people line up matters. The answer is incorrect. It should be a permutation, not a combination.
Sure! I can check your answers and explain how to determine whether each question involves permutations or combinations.
1.) Number of ways the Junior class can elect a committee of officers - President, Vice President, Secretary, and Treasurer.
Your answer: combinations
Explanation: This question involves selecting a committee of officers from a group of people. Since the order of the positions (President, Vice President, Secretary, Treasurer) does not matter, this is a combination problem. The order in which the committee members are selected does not affect the outcome.
2.) Number of three-digit pin numbers for a debit card.
Your answer: permutations
Explanation: This question involves creating a three-digit pin number. Since the order of the digits matters (e.g., 123 is different from 321), this is a permutation problem. Each digit can be selected independently, and the order of their selection determines the outcome.
3.) Number of different arrangements of three types of flowers from an array of 20 types.
Your answer: permutations
Explanation: This question involves arranging different types of flowers. Since the order of the arrangements matters (e.g., ABC is different from BAC), this is a permutation problem. Each type of flower can be selected independently, and the order of their arrangement determines the outcome.
4.) Number of ways 10 people can line up in a row for concert tickets.
Your answer: combinations
Explanation: This question involves lining people up in a row, where the order matters. Since the order in which the 10 people line up does matter (e.g., person A in front of person B is different from person B in front of person A), this is a permutation problem.
In summary, your answers are:
1.) combinations - Correct
2.) permutations - Correct
3.) permutations - Correct
4.) combinations - Incorrect
The correct answer for question 4 is permutations.