Fundamental Counting Principle & Permutations

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 total number of ways both events can occur is m × n.

Front

How many ways can 3 different vases be arranged on a tray?

Back

6

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The number of permutations of 'n' objects taken 'r' at a time is given by n! / (n - r)!.

Front

What is the value of 5! (5 factorial)?

Back

120

Front

How many different lunch combinations can be made with 6 sandwiches, 3 chips, and 5 beverages?

Back

270

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80

Front

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

Back

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

Front

If a die is rolled and a coin is flipped, how many total outcomes are there?

Back

12

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 total number of outcomes for multiple independent events?

Back

Multiply the number of outcomes for each event together.