Fundamental Counting Principle, Permutations, Combinations 2

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to do both.

Front

How many different sundaes can be made with 3 ice cream flavors, 4 toppings, and 2 sauces?

Back

24 different sundaes (3 × 4 × 2 = 24).

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 items without regard to the order in which they are arranged.

Front

How many unique 'words' can be formed from the letters in 'SPARTANS'?

Back

10,080 unique arrangements.

Front

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

Back

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

Front

Evaluate 10P3.

Back

720.

Front

How many ways can 4 names be chosen from a list of 20?

Back

4,845 unique combinations.

Front

What is the difference between permutations and combinations?

Back

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

Front

If you have 5 shirts and 3 pairs of pants, how many outfits can you create?

Back

15 outfits (5 × 3 = 15).