Permutations and Combinations Assignment

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 many ways can you arrange 5 vases from a total of 8?

Back

6720 ways.

Front

What is the formula for permutations of n objects taken r at a time?

Back

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

Front

What is the formula for combinations of n objects taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].

Front

If you have 4 portraits, how many ways can you arrange them?

Back

24 ways (4!).

Front

In how many ways can you choose 3 city commissioners from 6 candidates?

Back

20 ways (C(6, 3)).

Front

What is the difference between permutations and combinations?

Back

Permutations consider order; combinations do not.

Front

How many different ways can the letters in the word 'math' be arranged?

Back

24 ways.

Front

What is the significance of the factorial symbol '!' in permutations and combinations?

Back

It represents the product of all positive integers up to that number.