Counting Principal

Front

What is the Counting Principle?

Back

The 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

If a shirt can be paired with 3 jackets and 2 pairs of pants, how many outfits can be created?

Back

6 outfits (3 jackets × 2 pants).

Front

How many different combinations can be made with 3 types of sandwiches (ham, turkey, roast beef) and 2 types of cheese (Swiss, provolone)?

Back

6 combinations (3 sandwiches × 2 cheeses).

Front

What is a tree diagram?

Back

A tree diagram is a visual representation of all possible outcomes of an event, showing the branches of choices.

Front

How many outcomes are there when rolling a die (6 sides) and flipping a coin (2 sides)?

Back

12 outcomes (6 × 2).

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.

Front

If there are 2 letters followed by a 1-digit number, how many different license plates can be formed?

Back

6760 plates (26 letters × 26 letters × 10 numbers).

Front

How do you calculate the total number of outcomes in a scenario with multiple choices?

Back

Multiply the number of choices for each decision.

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n - r)!), where n is the total items, r is the items chosen.