Understanding Factorials, Permutations, and Combinations

This video tutorial demonstrates how to evaluate factorials, permutations, and combinations using Desmos. It covers the evaluation of 8 factorial, the permutation of 8 items taken 5 at a time, and the combination of 8 items chosen 5 at a time. The video provides step-by-step instructions on using Desmos' functions menu and keyboard to perform these calculations, emphasizing the difference between permutations and combinations in terms of order significance.

What is the main difference between permutations and combinations?

• Combinations consider order, permutations do not.

• Permutations consider order, combinations do not.

• Both consider order.

• Neither consider order.

Which notation does Desmos use for factorials?

• n^r

• nC

• nP

• n!

How do you access the exclamation mark for factorials on the Desmos keyboard?

• By clicking the stats menu.

• By clicking the functions menu.

• By clicking the large 123 button.

• By clicking the large ABC button.

What is the result of 8 factorial?

• 8,000

• 56

• 6,720

• 40,320

Which function is used to calculate permutations in Desmos?

• nCr

• nPr

• n^r

• n!

What is the value of 8 permute 5?

• 8,000

• 56

• 40,320

• 6,720

How can you enter permutations manually in Desmos?

• Using lowercase n, capital P, lowercase r, and parentheses.

• Using lowercase n, capital C, lowercase r, and parentheses.

• Using the exclamation mark.

• Using the stats menu.

Which function is used to calculate combinations in Desmos?

• n!

• nCr

• n^r

• nPr

What is the result of 8 choose 5?

• 56

• 6,720

• 8,000

• 40,320

How can you enter combinations manually in Desmos?

• Using lowercase n, capital C, lowercase r, and parentheses.

• Using the stats menu.

• Using lowercase n, capital P, lowercase r, and parentheses.

• Using the exclamation mark.