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Permutations and Combinations in Phone Numbers

Permutations and Combinations in Phone Numbers

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Sophia Harris

FREE Resource

The video tutorial discusses a problem where James tries to call his friend Paul but can't remember the number. The teacher uses an example of calling Pizza Hut to explain the concept of maximum calls needed when trying different numbers. The tutorial then delves into understanding combinations and permutations, using an eight-digit phone number as an example. The teacher explains how to calculate the number of possible combinations when certain digits are known, emphasizing the importance of eliminating zeros and ensuring no repeated digits.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main problem James is trying to solve?

Learning a new language

Remembering a jingle

Ordering a pizza

Finding the maximum number of calls to reach his friend

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Pizza Hut example, what is the maximum number of calls needed?

5

20

10

15

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to determine the correct phone number?

Guessing

Trial and error

Using a calculator

Asking a friend

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many digits are known in the 8-digit phone number example?

Seven

Six

Five

Four

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of not having zeros in the phone number?

It is a requirement for all phone numbers

It makes the number easier to remember

It increases the number of possible combinations

It reduces the number of possible combinations

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many possible combinations are there for the last two digits?

Six

Four

Seven

Five

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical concept is used to calculate the combinations?

Permutations and combinations

Geometry

Calculus

Algebra

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