Combinations

Front

What is a combination?

Back

A combination is a selection of items from a larger set where the order does not matter.

Front

How do you calculate the total number of combinations?

Back

To calculate combinations, use the formula: 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 a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a situation, often used to illustrate combinations.

Front

If you have 3 shirts and 2 pairs of pants, how many outfit combinations can you make?

Back

You can make 6 outfit combinations (3 shirts x 2 pants = 6).

Front

What is the difference between combinations and permutations?

Back

Combinations are selections where order does not matter, while permutations are arrangements where order does matter.

Front

What is the probability of an event?

Back

Probability is the measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

If there are 4 different toppings for a pizza, how many combinations of 2 toppings can you choose?

Back

You can choose 6 combinations of 2 toppings from 4 (C(4, 2) = 4! / (2!(4 - 2)!) = 6).

Front

What is a complete outfit in terms of combinations?

Back

A complete outfit consists of a combination of clothing items, such as a coat, shirt, and pants.

Front

How many total combinations can be made with 2 coats, 3 shirts, and 2 pants?

Back

You can make 12 total combinations (2 coats x 3 shirts x 2 pants = 12).

Front

What does it mean to have 'equal probability'?

Back

Equal probability means that each outcome has the same chance of occurring.