Understanding Subsets and Power Sets

The video tutorial explains how to calculate the number of subsets for a given set, using the power set concept. It covers finding subsets with specific elements, subsets containing at least one odd number, and subsets with exactly four even numbers. The tutorial uses combinatorial methods to solve these problems, providing different approaches to understand the calculations.

How many subsets can be formed from a set with 8 elements?

• 64

• 512

• 256

• 128

What is the formula to calculate the total number of subsets of a set?

• n^2

• 2^n

• n/2

• n!

How many subsets of set S contain both elements 2 and 3?

• 64

• 128

• 32

• 16

If a subset must include elements 2 and 3, how many elements are left to choose from in set S?

• 4

• 5

• 6

• 7

What is the total number of subsets of set S that contain at least one odd number?

• 128

• 240

• 256

• 16

How many subsets of set S contain only even numbers?

• 64

• 32

• 16

• 8

How many subsets contain exactly four even numbers?

• 32

• 48

• 64

• 80

If a subset must contain exactly four even numbers, how many odd numbers can be included?

• 1

• 2

• 3

• 4

What is the number of ways to select one even number from a set of four even numbers?

• 2

• 3

• 1

• 4

How many subsets can be formed from a set of four odd numbers?

• 20

• 16

• 12

• 8