Sets and Counting flashcards
26 practice cards drawn from the Sets and Counting lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Sets and Counting lessons in full →
What is the name for the set of elements in A or B or both?
union
from “Set Notation”
What is the name for the set of elements everything under discussion?
universal set
from “Set Notation”
How many separate regions does a Venn diagram of 3 sets have?
8
from “Venn Diagrams”
How many separate regions does a Venn diagram of 2 sets have?
4
from “Venn Diagrams”
The universal set has 53 members and A has 47. How many are not in A?
6
from “Complements and Subsets”
The universal set has 54 members and A has 31. How many are not in A?
23
from “Complements and Subsets”
Can the even numbers be put in an endless list?
can be listed
from “Cantor’s Diagonal: Bigger Infinities”
Can the prime numbers be put in an endless list?
can be listed
from “Cantor’s Diagonal: Bigger Infinities”
n(A) = 7, n(B) = 12, and 3 are in both. What is ?
16
from “Counting a Union”
n(A) = 13, n(B) = 14, and 7 are in both. What is ?
20
from “Counting a Union”
Out of 15 outcomes, what is ?
from “Probability in Set Notation”
Out of 17 outcomes, what is ?
from “Probability in Set Notation”
What is P(walks | girl)?
from “Conditional Probability from Tables”
What is P(girl | walks)?
from “Conditional Probability from Tables”
You have 6 shirts and 6 hats. How many shirt-and-hat outfits can you make?
36
from “Adding and Multiplying Choices”
You have 2 shirts and 4 hats. How many shirt-and-hat outfits can you make?
8
from “Adding and Multiplying Choices”
In how many orders can 7 different books sit on a shelf?
5040
from “Factorials”
In how many orders can 5 different books sit on a shelf?
120
from “Factorials”
How many ways to pick 3 from 4 when the order matters?
24
from “Permutations”
How many ways to pick 3 from 8 when the order matters?
336
from “Permutations”
How many ways to choose a team of 3 from 6?
20
from “Combinations”
How many ways to choose a team of 2 from 6?
15
from “Combinations”
There are 6 books on a shelf, and 2 of them must sit together. How many orders are there?
240
from “Repeats and Restrictions”
How many distinct arrangements of the letters of Tooth are there?
30
from “Repeats and Restrictions”
5 points sit on a circle. How many straight lines join pairs of them?
10
from “Counting with Geometry”
4 points sit on a circle. How many straight lines join pairs of them?
6
from “Counting with Geometry”