Day 3 classwork Factorial! and permutation and mutually exclusiv

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter. It focuses on the group rather than the arrangement.

Front

How do you calculate the number of combinations of choosing r items from n items?

Back

The formula is 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

How do you calculate the number of permutations of choosing r items from n items?

Back

The formula is P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.

Front

What does 'mutually exclusive' mean in probability?

Back

Events are mutually exclusive if they cannot occur at the same time. For example, rolling a die cannot result in both a 2 and a 5.

Tags

CCSS.HSS.CP.A.5

Front

What does 'not mutually exclusive' mean in probability?

Back

Events are not mutually exclusive if they can occur at the same time. For example, drawing a card that is both a heart and a face card.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the factorial of a number?

Back

The factorial of a number n, denoted as n!, is the product of all positive integers from 1 to n.

Front

Expand 5!

Back

5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

If a team of 17 players chooses 3 players, is this a permutation or combination?

Back

This is a combination because the order of selection does not matter.

Front

Calculate the number of ways to choose 3 players from 17.

Back

C(17, 3) = 17! / (3!(17-3)!) = 680.