# Math

posted by .

I'm new to this but.. how many subsets does a five element have. How many subsets does a set of six elements have?

• Math -

if you include the empty set and the entire set itself in the list of subsets there will be 2^5 or 32 subsets for 5 elements.
In general, if you have n elements in a set, there will be 2^n number of subsets including the null set and the entire set itself.
e.g. {A,B,C)
subsets : {},{A},{B},{C}, {A,B}, {A,C}, {B,C}, {A,B,C}
there would be 2^3 or 8 of them

## Similar Questions

1. ### Math

How many subsets of a set with 100 elements have more than one element?
2. ### algebra

How many sets are subsets of set B? List the subsets of set B. Which are proper subsets?
3. ### Math

3 questions if you can help me. 1. Calculate the number of subsets and the number of proper subsets for the set. {x|x is a day of the week} 2. Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, …
4. ### Math

3 questions if you can help me. 1. Calculate the number of subsets and the number of proper subsets for the set. {x|x is a day of the week} 2. Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, …
5. ### Finite MAth

Assume that the set S has 7 elements. How many subsets of S have at most 3 elements
6. ### Maths

For a set of numbers T, we say that T has distinct subset sums if all distinct subsets of T have distinct sums. How many subsets of {1,2,3,4,5,6,7,8} have distinct subset sums?