Exploring Permutations and Combinations in Delta Math

This video tutorial provides a review of permutations and combinations, focusing on key concepts and examples. It explains the difference between permutations, where order matters, and combinations, where order does not matter. The tutorial includes examples of forming committees and groups using combinations, and casting roles using permutations. It also covers two-step problems that involve both combinations and permutations, providing practical examples and calculations.

What does a combination focus on?

• The order in which elements are arranged

• The selection of elements without regard to order

• The exclusion of elements

• The repetition of elements

How many ways can a committee of 8 be formed from a 13 member student council?

• 1287

• 287

• 715

• 3876

Which keyword indicates a combination?

• Order

• Group

• Sequence

• Lineup

How many different groups of 4 can be formed from 19 volunteers?

• 3876

• 1287

• 715

• 21

What does a permutation focus on?

• The selection of elements without regard to order

• The repetition of elements

• The order in which elements are arranged

• The exclusion of elements

How many ways can the roles of Larry, Curly, and Moe be cast among 10 actors?

• 21

• 720

• 1287

• 3876

In a two-step combination problem, what operation is performed between the two combinations?

• Addition

• Subtraction

• Division

• Multiplication

How many different committees can be formed with 2 teachers from 7 and 4 students from 13?

• 15015

• 715

• 21

• 3876

What is essential for a permutation?

• Repetition of elements

• Order of elements

• Exclusion of elements

• Selection without regard to order

How many ways can medals be awarded in the running competition?

• 1301040

• 15015

• 720

• 3876