Question 195761: I have two problems from a computer textbook program used in homeschool. I dont' understand them,and I was wondering if you would please help.
Thanks.
If a set has 1024 subsets, how many elements does it have?
How many bicycle license tags can you make with 4 numberal spaces? Use 10 digits and no blank spaces.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If a set has 1024 subsets, how many elements does it have?
---
A set with n elements has 2^n subsets because each of the n elements
is either in or out of a given subset.
---
So, if 2^n = 1024
n = 10
=================
How many bicycle license tags can you make with 4 numeral spaces?
Use 10 digits and no blank spaces.
---
10 ways to choose the 1st space
10 ways to choose the 2nd space
10 ways to choose the 3rd space
10 ways to choose the 4th space
----
Total = 10^4 = 10,000 license tags possible
=====================================
Cheers,
Stan H
|
|
|
