Factorials, Permutations, and Combinations

Factorials, Permutations, and Combinations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers permutations and probability, starting with the basics of permutations and factorials. It explains how to calculate permutations, including those with restrictions and repeated elements. The tutorial also demonstrates how permutations are used in probability calculations, providing examples such as arranging news stories, creating license plates, and generating codes.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a permutation?

A method to calculate probability

A way to arrange objects in a specific order

A way to count objects

A type of mathematical operation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many ways can the letters X, Y, and Z be arranged?

12

3

6

9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the symbol 'n!' represent in permutations?

The division of n by 2

The difference between n and 1

The product of all positive integers up to n

The sum of n numbers

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is 8 factorial (8!) calculated?

8 + 7 + 6

8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

8 x 7 x 6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a TV station has 8 news stories, how many different ways can they be arranged?

8

40,320

336

5,040

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for permutations of n objects taken r at a time?

n! / (n-r)!

n! / r!

n! + r!

n! x r!

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many ways can 3 stories be selected from 8?

336

56

720

1,680

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