Probability, Permutations, and Combinations

Front

What is Probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Tags

CCSS.7.SP.C.5

Front

What are Permutations?

Back

Permutations are arrangements of objects in a specific order. The order matters in permutations.

Front

What are Combinations?

Back

Combinations are selections of objects where the order does not matter.

Front

How do you calculate the number of permutations of n objects taken r at a time?

Back

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

Front

How do you calculate the number of combinations of n objects taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].

Front

If you have 12 desserts and want to choose 3, how many combinations can you make?

Back

C(12, 3) = 220.

Front

Does order matter in combinations?

Back

No, order does not matter in combinations.

Front

How many ways can a coach pick a team of 5 players from 15 players?

Back

C(15, 5) = 3,003.

Front

In how many ways can you choose 6 toppings from 12 available toppings?

Back

C(12, 6) = 924.

Front

What is the difference between permutations and combinations?

Back

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