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Combinations and Their Applications

Combinations and Their Applications

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.C.5, HSF-IF.C.8B

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSA.APR.C.5
,
CCSS.HSF-IF.C.8B
The video tutorial explains how to evaluate combinations using different notations, focusing on examples like 8 choose 6, 12 choose 9, and 12 choose 3. It covers the formula for combinations, N choose R, and its applications in binomial theorem, combinatorics, and probability. The tutorial provides detailed steps for calculating combinations, simplifying factorials, and understanding the equivalence of different combinations. The video concludes with a summary of the key points discussed.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the notation 'n choose r' represent in combinatorics?

The number of ways to arrange n items from r items.

The number of ways to select n items from r items with regard to order.

The number of ways to select r items from n items without regard to order.

The number of ways to arrange r items from n items.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following fields use combinations?

Geometry

Trigonometry

Algebra

Probability

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factorial representation of 8 choose 6?

8! / (6! x 2!)

8! / (4! x 4!)

8! / (7! x 1!)

8! / (5! x 3!)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many different groups can be formed when choosing 6 people from 8?

14

28

56

70

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the property 6 + 2 = 8 in the context of combinations?

It ensures the combination is set up correctly.

It is used to calculate permutations.

It is a property of factorials.

It is used to determine the order of selection.

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified result of 12 choose 9?

110

120

330

220

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which factorials are used in the denominator for calculating 12 choose 9?

11! and 1!

9! and 3!

8! and 4!

10! and 2!

Tags

CCSS.HSF-IF.C.8B

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