Question

For which of the following situations would the order that items are chosen not matter?

Finding the number of ways to choose 3 students out of a class of 30.
Finding the number of ways to choose Al, Bob, and Carl out of a class of 30 students.
Finding the number of ways to choose 2 vegetables out of 10.
Finding the number of ways to choose a carrot and broccoli out of 10 vegetables.
Finding the number of ways to choose 4 letters out of 12.

Answer 1

Finding the number of ways to choose a carrot and broccoli out of 10 vegetables.

Finding the number of ways to choose Al, Bob, and Carl out of a class of 30 students.

Step-by-step explanation: 100% correct

Answer 2

Among the 4 choices, the only choice where the order does not matter is the third option:
Finding the number of ways to choose 2 vegetables out of 10.
This is because the vegetables are not specified. As long 2 vegetables are taken from the 10, then picking one vegetable and then another is not different to picket the other vegetable and then picking the first.