Understanding Subsets and Cardinality

The video tutorial explains how to calculate the number of subsets of a set with specific cardinalities. It covers subsets with cardinality of 5 or more using combinations and a scientific calculator. The tutorial also explores subsets with cardinality of 2 or more by subtracting subsets with cardinality 0 or 1 from the total. The video provides a step-by-step approach to solving these problems using mathematical concepts and tools.

What is the cardinality of a subset?

• The number of subsets possible

• The number of elements in the subset

• The number of elements not in the subset

• The number of elements in the universal set

How many elements are in the given set?

• 8

• 6

• 5

• 7

What is the formula to calculate the number of subsets with a specific cardinality?

• k choose n

• n choose k

• n^k

• n + k

How many subsets with cardinality 5 or more exist in the given set?

• 56

• 70

• 93

• 120

What is the total number of subsets for a set with 8 elements?

• 512

• 256

• 128

• 64

What is the number of subsets with cardinality 0?

• 0

• 1

• 8

• 256

How many subsets with cardinality 1 exist in the given set?

• 32

• 8

• 16

• 1

What is the total number of subsets with cardinality 2 or more?

• 247

• 256

• 128

• 93

What is the approach to find subsets with cardinality 2 or more?

• Multiply subsets with cardinality 0 and 1

• Divide subsets with cardinality 0 and 1

• Add subsets with cardinality 0 and 1

• Subtract subsets with cardinality 0 and 1 from total subsets

What is the value of 2 to the power of 8?

• 256

• 128

• 64

• 512