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Understanding Subsets and Combinations

Understanding Subsets and Combinations

Assessment

Interactive Video

•

Mathematics

•

7th - 12th Grade

•

Practice Problem

•

Hard

Created by

Jackson Turner

FREE Resource

The video tutorial explains how to determine the number of subsets of a set, focusing on the concept of power sets and their cardinality. It introduces the multiplicative principle and combinations to calculate subsets with specific cardinalities. The tutorial includes practical examples and demonstrates using a calculator to verify results.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the power set of a set with elements {1, 2}?

A set with 2 subsets

A set with 3 subsets

A set with 4 subsets

A set with 5 subsets

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many subsets does a set with 5 elements have?

25

64

16

32

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What principle is used to determine the number of subsets of a set?

Additive principle

Multiplicative principle

Subtractive principle

Divisive principle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the calculation 5 x 4 x 3 incorrect for finding subsets?

It assumes elements are zero

It assumes elements are infinite

It assumes order matters

It assumes elements are identical

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many unique subsets with 3 elements can be formed from a set of 5 elements?

5

20

10

15

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for combinations?

n! / k!

n! / [(n-k)! k!]

n! / n!

n! / (n-k)!

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many subsets with 2 elements can be formed from a set of 5 elements?

5

10

8

12

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