Permutations Combinations and Fundamental Counting Principle

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

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m × n ways.

Front

Calculate 5! (5 factorial).

Back

5! = 120

Front

How many ways can you arrange the letters in the word 'MATH'?

Back

4! = 24 ways.

Front

What is the value of 0! (zero factorial)?

Back

0! = 1.

Front

If you have 3 different books, how many ways can you arrange them on a shelf?

Back

3! = 6 ways.

Front

How many different outcomes are there when rolling a die?

Back

6 outcomes.

Front

If you have 4 shirts and 3 pairs of pants, how many outfits can you create?

Back

4 x 3 = 12 outfits.

Front

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

Back

P(n, r) = n! / (n - r)!.