Today in class we will share solutions to the exercises in Section 5.1: Sets.

I'll start things off by sharing how we can use python to help us work with sets.

Investigate!

1. • (a) >>> len(range(3, 16))
   • (b) >>> len(range(3, 201))
   • (c) >>> len([2 * n + 1 for n in range(50)])

2.   >>> A = {1, 2, 3, 4, 5}
     >>> B = {4, 5, 6, 7, 8, 9}
     >>> A | B
     {1, 2, 3, 4, 5, 6, 7, 8, 9}
     >>> len(A | B)
     9
     >>> A & B
     {4, 5}
     >>> len(A & B)
     2
     

3.   >>> A = {1, 2, 3, 4, 5}
     >>> B = {3, 4, 5, 6, 7}
     >>> A | B
     {1, 2, 3, 4, 5, 6, 7}
     >>> len(A | B)
     7
     >>> A & B
     {3, 4, 5}
     >>> len(A & B)
     3
     

4.   >>> from math import comb as c
     >>> c(10, 2)
     45
     

Rate of Growth Quiz Solutions

We will begin class with a quiz on Section 4.2: Rate of Growth.

You will then have class time to work on presentation of solutions to the exercises you chose last week, listed here for your convenience:

You will also get back previous quizzes and be provided solutions.

• Counting Multisets
• Describing Sequences

Period 1B

• Eleanor and Alex: Problem 1
• Noah and Donovan: Problem 2
• Toby and Gabriel: Problem 3
• Zach and Evan: Problem 4
• Fatima and Udval: Problem 5
• Nikita and Sean: Problem 6
• Conrad and Jake : Problem 7
• Alessandra and Dylan: Problem 8
• Udval and Luis: Problem 9
• Rockwell and Grant: Problem 10

Period 4B

• Blu: Problem 1
• Gabe: Problem 3
• Anupama: Problem 4
• Jack: Problem 5
• Abi: Problem 6
• Alex: Problem 8