# How many subsets contain at least one odd number?

Table of Contents

## How many subsets contain at least one odd number?

3 subsets

All subsets of cardinality 4 must contain at least one odd number. (31)=3 subsets.

**How many subsets can be formed from the set A ={ 1 2 3?**

The set 1, 2, 3 has 8 subsets.

**How many subsets contain at least one even integer?**

⇒ \Rightarrow ⇒ 2048 – 64 = 1984. Hence, option C is the correct answer.

### What is the total number of proper subsets of the set 1 2 3 100?

Answer: In general, number of subsets of a set having ‘n’ elements is 2^n. Out of these, null set and the set itself are not proper subsets. Thus number of subsets of such a set is (2^n)-2, thus number of proper subsets of the given set are (2^3)-2= 8-2=6.

**How many subsets does a set with 10 elements have?**

The set containing 10 elements will have 2^10 subsets= 1024 subsets.

**How many subsets containing an odd number of elements does a set with 10 elements have?**

9! 1! Thus there are 512 subsets with an odd number of elemets of a set with 10 elements.

## What is the subset of 1 2?

{1,2} is a subset of {1,2,3,4} ; ∅ , {1} and {1,2} are three different subsets of {1,2} ; and. Prime numbers and odd numbers are both subsets of the set of integers.

**How many subsets are in a set?**

The number of subsets can be calculated from the number of elements in the set. So if there are 3 elements as in this case, there are: 23=8 subsets. Remember that the empty (or null) set and the set itself are subsets.

**What is the power set of the 1 2 set?**

What is the meaning power set? A power set is set of all subsets, empty set and the original set itself. For example, power set of A = {1, 2} is P(A) = {{}, {1}, {2}, {1, 2}}.

### How many subsets does a set with 9 elements have?

There are 29 subset of a nine element set. We have shown that every one of these can be made into a subset of a ten element set having an odd number of elements.

**How many subsets with an odd number of elements does a set with N elements have?**

The number of sets with odd power is the same as the number of sets with even power. So, since the number of all (sub)sets is 2n the answer is 2n−1. S contains an odd number of elements, so should be counted as a subset of the ten element set containing an odd number of elements.