CW #48 - Fundamental Counting Principle

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 license plates can be made with 3 letters followed by 3 numbers without repetition?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11,232,000

Front

If a pizza has 8 different meats, 4 different cheeses, 3 different crust types, and 2 different sauces, how many different pizzas can be made?

Back

8 x 4 x 3 x 2 = 192

Front

How many different outfits can be made with 8 T-shirts and 6 pairs of shorts?

Back

8 x 6 = 48

Front

In a multiple-choice test with 7 questions and 4 possible answers for each, how many ways can the questions be answered?

Back

4^7 = 16,384

Front

How many different meals can be ordered with 5 main dishes, 3 salads, and 4 desserts?

Back

5 x 3 x 4 = 60

Front

What is the formula for calculating combinations?

Back

C(n, r) = n! / (r!(n - r)!) where n is the total number of items, and r is the number of items to choose.

Front

What is the difference between permutations and combinations?

Back

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

Front

If you have 10 different books and want to choose 3 to read, how many combinations are possible?

Back

C(10, 3) = 120

Front

What is the total number of outcomes when flipping a coin 3 times?

Back

2^3 = 8