Permutations and Combinations

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order.

Front

What is a combination?

Back

A combination is a selection of objects without regard to the order.

Front

How do you calculate the number of permutations of n objects taken r at a time?

Back

The formula is n! / (n - r)!.

Front

How do you calculate the number of combinations of n objects taken r at a time?

Back

The formula is n! / (r! * (n - r)!).

Front

What is the probability of an event?

Back

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Front

If a bag contains 5 quarters, 2 dimes, and 4 pennies, what is the total number of coins?

Back

The total number of coins is 5 + 2 + 4 = 11.

Front

What is the sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of an event.

Front

How many ways can you arrange 3 books on a shelf?

Back

The number of ways is 3! = 6.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.