Sets
Counting Elements in a Subset Venn Diagram
Counting Rules
Permutations
Combinations
100
If U= {a,b,c,d,e,f} A= {a,b} B= {b,c,d} then what is (A U B)'
What is {c,d,e,f}
100
N (A n B)
What is 6
100
Draw a tree diagram to show all the possible sequences of heads and tails in two coin tosses.
TT TH HT HH
100
7!
What is 7x6x5x4x3x2x1=5040
100
C(5,2)
What is 5x4x3x2x1/2x1 3x2x1=10
200
The subsets of {1,2,3} are
What is o, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}
200
N (A n B n C)
What is 2
200
N(A U B) = N(A) + N(B) - N(A n B)
What is the inclusion exclusion Principle
200
p(N,K)=N! / (N-K)!
What is the formula for permutations
200
You must choose two cards from six, in how many ways can this be done.
What is 6x5/2x1=15
300
A= {2,4,6,8} and B= {6,2,4,8,6}
What is an equal set
300
N (A U B)
What is 35
300
Mr. Moony has a blue shirt and a red shirt. He also has white pants, grey pants, and yellow pants. Draw a tree diagram that shows all possible ways in which a shirt and pants can be selected.
What is (see Dixon for answer)
300
A subset of distinct elements selected from a given set and arranged in a specific order.
What is a permutation?
300
the expansion of (x+y)^5
What is x^5+5(x^4)y+10(x^3)y^2+10(x^2)y^3+5(x^4)+5y
400
A set with no elements, known as {} or O
What is a empty set
400
N (A' U B')
What is 38
400
A quiz consists of four multiple choice questions with five possible responses to each question. In how many ways can the quiz be answered?
What is 5x5x5x5=625
400
How many three digit numbers can be formed using the digits {2,4,6,8} with no repeats?
What is 64
400
How many ways can Mr. Mooney invite two or more of his 5 friends to a math celebration!
What is 2^5- C(5,0)- C(5,1)= 26
500
What is the set of - 13<x<20
{14,15,16,17,18,19}
500
N (A U B U C)'
What is 6
500
Brown hair, around 6 foot, wears glasses, enjoys math, best known for teaching the "plug and chug" method, attended Wash-U
Who is Mr. Mooney
500
how many different 4 letter words can you spell with the letters in SCISSORS with no repeats
What is 5x4x3x2=120
500
The cafeteria offers a section of 5 meats, 6 veggies, and 8 desserts. In how many ways can you select a meal of 2 different meats, 3 different veggies, and different desserts.
What is C(5,2)xC(6,3)xC(8,2)=5600
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