Fundamental Counting Principle

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 x n ways.

Front

How many ways can 10 workshops be ordered?

Back

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

Front

How many different 1-topping pizzas can be made with 3 sizes and 14 toppings?

Back

3 x 14 = 42

Front

How many 5-digit even numbers can be formed using the digits 4, 6, 7, 2, 8 if digits can be repeated?

Back

5 x 5 x 5 x 5 x 4 = 2500

Front

How many four-letter passwords can be formed using the letters A, B, C, and D if letters can be repeated?

Back

4 x 4 x 4 x 4 = 256

Front

How many license plates can be made with 3 letters followed by 3 numbers with no repetition?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11232000

Front

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

Back

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

Front

What is the difference between permutations and combinations?

Back

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

Front

How do you calculate the number of ways to arrange 'n' distinct objects?

Back

The number of arrangements is n! (n factorial).

Front

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

Back

5 x 3 = 15 outfits.