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Seating Arrangements and Factorials

Seating Arrangements and Factorials

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Jackson Turner

FREE Resource

The video tutorial explores different seating arrangements for 10 people, consisting of 5 boys and 5 girls. It begins with a scenario without restrictions, followed by a scenario where boys and girls alternate seats. Finally, it examines a scenario where couples must sit together. Each scenario is analyzed using factorial calculations to determine the number of possible arrangements.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many total spots are available for seating in the initial scenario?

15

20

10

5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factorial used to calculate the number of ways to arrange 10 people in 10 spots?

5 factorial

10 factorial

9 factorial

8 factorial

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the alternating seating scenario, who is placed first?

A girl

A boy

Either a boy or a girl

It doesn't matter

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many spots are available for the remaining boys after the first boy is placed?

6

5

4

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What factorial is used to arrange the remaining boys in the alternating scenario?

3 factorial

5 factorial

6 factorial

4 factorial

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the couples scenario, how are the couples treated?

As interchangeable units

As separate individuals

As two separate units

As single units

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many slots are available for couples in the couples scenario?

10

5

20

15

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