What would be used to find the outcome of the described events are;
Placing items in a line: Permutation
Choosing cards from a deck of cards: Combination
Choosing a committee of 5 people: Combination
Placing first or second in a race: permutation
Choosing 3-digit lock combinations: Permutation
Outcomes of event using permutation and combination
Placing items in a line: Permutation
Permutation is used when the order of the items matters. For example, arranging a group of people in a line or arranging the letters of a word.
Choosing cards from a deck of cards: Combination
Combination is used when the order of the items does not matter. For example, selecting a group of cards from a deck without considering the order they were chosen in.
Choosing a committee of 5 people: Combination
Combination is used when the order of the items does not matter. In this case, the committee members are selected without considering the order in which they were chosen.
Placing first or second in a race: Permutation
Determining the order of finish is very crucial. For example determining the top two finishers in a race.
Choosing 3-digit lock combinations: Permutation
Permutation is used when the order of the items matters. In this case, the order of the digits in the lock combination matters, so it would be a permutation.