Permutations & Combinations

Front

What is a permutation?

Back

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

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter.

Front

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

Back

The formula is P(n, r) = n! / (n - r)!.

Front

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

Back

The formula is C(n, r) = n! / [r!(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 up to n.

Front

Calculate the number of ways to arrange 3 letters from the word 'TULIP'.

Back

60

Front

Calculate the number of ways to select 5 articles from 7 available articles.

Back

21

Front

How many ways can you choose 2 toppings from 8 options for a pizza?

Back

28

Front

In how many ways can 6 students be chosen from 32 for a council?

Back

Combination (C(32, 6)).

Front

What is the difference between permutations and combinations?

Back

Permutations consider order; combinations do not.