Understanding Permutations and Arrangements

Understanding Permutations and Arrangements

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve permutation problems with repetitions using examples. It covers arranging letters in words like 'tooth' and 'Apple', and forming six-digit numerals from a set of digits. The tutorial demonstrates how to account for repeated elements by dividing by factorials of the repeated counts, providing step-by-step calculations for each example.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Solving algebraic equations

Understanding permutations with repetitions

Learning about calculus

Studying probability theory

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of permutations, what does the term 'arrange' indicate?

A probability problem

A combination problem

A calculus problem

A permutation problem

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many letters are in the word 'tooth'?

Six

Seven

Four

Five

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we divide by two factorial twice in example A?

To account for the repeated letters 'o' and 't'

To simplify the calculation

To increase the number of permutations

To account for the repeated letter 'h'

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total number of different arrangements for the word 'tooth'?

30

120

15

60

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many letters are in the word 'Apple'?

Seven

Five

Six

Four

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In example B, which letter is repeated in the word 'Apple'?

P

E

A

L

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