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Understanding Permutations

Understanding Permutations

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary characteristic of permutations?

All arrangements are identical

Only one arrangement is possible

Order matters

Order does not matter

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many possible permutations are there for a lock with 5 wheels, each numbered 1 through 8?

8,000

32,768

64,000

16,384

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a race with 99 participants, how many permutations are there for the top three positions?

500,000

941,618

970,200

1,000,000

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a factorial in the context of permutations?

The average of all integers from 1 to n

The difference between the largest and smallest integers

The product of all integers from n down to 1

The sum of all integers from 1 to n

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which type of permutation is used when the order of selection does not affect the outcome?

Sequential permutation

Independent permutation

Random permutation

Dependent permutation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What principle is used to calculate independent permutations?

Division principle

Subtraction principle

Counting principle

Addition principle

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate 7P3 using the shortcut method?

7 / 6 / 5

7 - 6 - 5

7 + 6 + 5

7 * 6 * 5

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