Front

What is a permutation?

Back

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

Front

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

Back

The number of permutations of 'n' objects taken 'r' at a time is calculated using the formula: P(n, r) = n! / (n - r)!.

Front

What is the factorial of a number?

Back

The factorial of a number 'n', denoted as n!, is the product of all positive integers from 1 to n.

Front

How many ways can you arrange 'n' distinct objects?

Back

The number of ways to arrange 'n' distinct objects is given by n!.

Front

If you have 5 books, how many ways can you arrange them on a shelf?

Back

You can arrange 5 books on a shelf in 5! = 120 ways.

Front

What is the sample space in probability?

Back

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

Front

How do you find the total number of outcomes when combining independent events?

Back

To find the total number of outcomes when combining independent events, multiply the number of outcomes for each event.

Front

If you roll a die and flip a coin, how many possible outcomes are there?

Back

There are 6 outcomes from rolling a die and 2 outcomes from flipping a coin, resulting in 6 * 2 = 12 possible outcomes.

Front

What is the difference between permutations and combinations?

Back

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

Front

How many ways can you choose 3 objects from a set of 5?

Back

The number of ways to choose 3 objects from a set of 5 is given by the combination formula: C(5, 3) = 5! / (3! * (5 - 3)!) = 10.