1. (10pts] Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}. Determine each of the following (a) An Bn
alisha [4.7K]
Answer and explanation:
Given : Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}.
To find : Determine each of the following,
a) 
b) 
c) 
d)
Solution :
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets.
The intersection of two sets is a new set that contains all of the elements that are in both sets.
a) 

Then, 
b) 



c) 


d) 




The simplest solution is:
2452 = 60q +52r
2452 = 60q + 52(1)
2452 -52 = 60q
2400 = 60q
2400/60 =q
40 = q
r = 1: q = 40
If you're asking about the largest number that can be written with 3 digits in the given base:
• In base 2, the largest number with 3 digits is
111₂ = 1•2² + 1•2¹ + 1•2⁰ = 7
• In base 12, the largest number with 3 digits is
bbb₁₂ = 11•12² + 11•12¹ + 11•12⁰ = 1727
(in base 12, a₁₂ = 10 and b₁₂ = 11)
D
p would be how many hours Colin read for and if you multiply it you would get the amount of pages they already read and you would have to subtract it from the amount of pages in total
Assuming the bananas are distinct.
Then there will be 9 choices for the first, 8 for the second, and 7 for the third, for a total of 9*8*7=504 ways (order important)