Day 3 classwork Factorial! and permutation and mutually exclusiv

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, when drawing a card from a deck, drawing a 6 and drawing a king are mutually exclusive events.

Front

What does it mean for two events to be not mutually exclusive?

Back

Two events are not mutually exclusive if they can occur at the same time. For example, drawing a queen or a heart from a deck of cards is not mutually exclusive because a queen of hearts exists.

Front

What is the probability of drawing a 6 or a king from a standard deck of cards?

Back

The events are mutually exclusive, so the probability is the sum of the probabilities of each event.

Front

How many literature, algebra, and biology books are on the shelf?

Back

There are 3 literature books, 4 algebra books, and 2 biology books, totaling 9 books.

Front

What is a combination in mathematics?

Back

A combination is a selection of items from a larger set where the order does not matter.

Front

What is a permutation in mathematics?

Back

A permutation is an arrangement of items from a larger set where the order does matter.

Front

How do you determine if a situation is a permutation or combination?

Back

If the order of selection matters, it is a permutation. If the order does not matter, it is a combination.

Front

Calculate the number of ways to choose 3 players from a team of 17. Is it a permutation or combination?

Back

It is a combination, and the number of ways is 680.

Front

What is the formula for combinations?

Back

The formula for combinations is C(n, r) = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is the formula for permutations?

Back

The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.