Combinations and Factorials Concepts

Combinations and Factorials Concepts

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
6.EE.A.1, HSS.CP.B.9

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.6.EE.A.1
,
CCSS.HSS.CP.B.9
The video tutorial explains how to determine the number of ways to choose six books from a group of nine using combinations. It begins by discussing the importance of whether order matters, leading to the use of combinations instead of permutations. The tutorial then walks through the combination formula, simplifying factorials, and calculating the result. Finally, it verifies the calculation using a graphing calculator.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main question addressed in the video?

How to write a book about combinations.

How to arrange nine books in order.

How to choose six books from nine.

How to read nine books in a week.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of this problem, why is a combination used instead of a permutation?

Because permutations are more complex.

Because the order of selection does not matter.

Because the books are identical.

Because combinations are always used for books.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for calculating combinations?

n plus r factorial.

n times r factorial.

n factorial divided by (n-r) factorial times r factorial.

n factorial divided by r factorial.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is nine factorial simplified in the calculation?

As nine times eight times seven times six times five.

As nine times eight times seven times six factorial.

As nine times eight times seven times six times five times four.

As nine times eight times seven times six times five times four times three.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final number of ways to choose six books from nine?

72

84

90

100

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common factor is shared between three and nine in the simplification process?

Five

Three

Two

Four

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of three factorial?

Three

Six

Twelve

Nine

Tags

CCSS.6.EE.A.1

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