# Probability Quiz

1. Feb 22, 2013

### ParisSpart

i would like to have some help here.. it is a problem in probabilities i can not find anyway to start finding the functions any ideas and help will be apriciated.

How many functions are there from the power set of all (0,1,2,.....,9) with values in total (a,b,c)?
The number is too large. Write your answer as the (natural-based e) logarithm of that number with one digit precision (it should the first digit to the right of the decimal point is correct).

2. Feb 22, 2013

### chiro

Hey ParisSpart.

What kind of functions can you have? Do you have some specific template that you have to follow?

3. Feb 23, 2013

### tiny-tim

Hi ParisSpart!
I don't understand this

what does "in total" mean?

4. Feb 23, 2013

### ParisSpart

it means in the set of numbers:(a,b,c)

5. Feb 23, 2013

### tiny-tim

hmm … whyever did you write "in total" then?

ok, for any set X with n elements, how many functions are there from the set X to the set {a,b,c} ?

6. Feb 23, 2013

### ParisSpart

yea... and its says that the number is too big and we must write it like :xxxxxxxxe

7. Feb 23, 2013

### tiny-tim

for any set X with n elements, how many functions are there from the set X to the set {a,b,c} ?

8. Feb 23, 2013

### ParisSpart

dont know :D

9. Feb 23, 2013

### tiny-tim

for any set X with n elements, and for any set Y with m elements,

how many functions are there from the set X to the set Y ?

10. Feb 23, 2013

### ParisSpart

i will multiply m with n?

11. Feb 23, 2013

### tiny-tim

are you guessing?

why do you think that should work?​

12. Feb 23, 2013

### ParisSpart

i dont have any idea for this quiz i need some guides......for finding the solution..

13. Feb 23, 2013

### tiny-tim

ok, try it for X = {0,1} and Y = {a,b,c,d,e,f} …

(ie n = 2, m = 6)

how many functions from X to Y?

14. Feb 23, 2013

### ParisSpart

i think 12

15. Feb 23, 2013

### tiny-tim

ok, if there's only 12 you can easily write them out …

write out 12 functions from {0,1} to {a,b,c,d,e,f}