Venn diagrams
Combinations
Combination Problems
Binomial Theorem
100
The formula to find n(A uu B )
what is n(A) + n(B) -(
A cap B)
100
The formula for nCr?
What is
(n!)/(r!(n-r)!)
100
The rule that we typically use when we hear and; as well as the rule we use when we typically hear or.
The product rule and the sum rule
100
For the binomial (4x + 6y)8 how many terms would be in the expansion?
What is 9
200
If set A = {Apple, pear, banana, orange, tomato} and set B = {pear, tomato} what could we call set B?
What is a subset of A
200
Combinations are used when the order_________
What is doesn't matter?
200
The amount of ways we can make a 4 person committee out of a group of 10 members
10C4 = 210 ways
200
For the binomial (2x+7y)4 what could we identify each variable as? (a, b, n)
what is a = 2x, b= 7y, and n = 4
300
How many people watch only basketball?
What is 52
300
Evaluate C(18, 3)
What is 816
300
A photographer wants to take a photograph of at least one car, at the car meet there is a Camaro, a Corvette, an El Camino, and a Nova, how many different kinds of pictures could he take?
24-1 = 15 different pictures
300
25C4 + 25C5 as a single combination
What is 26C5
400
How many people watch only either basketball or only football? 
What is 115
400
Evaluate 16C13
What is 560
400
If we have 16 technicians and 12 Engineers, how many ways could we make a 6 person committee with equal number of engineers and technicians.
What is 16C3 x 12C3 = 123200?
400
What would the 3rd term of (a + b)5 look like?
What is 10a3b2
500
How many players play only one sport?
What is 56
500
Evaluate
((11),(8))x((5),(3))
What is 1650
500
If we were at the CD store and we had enough money to buy 7 CD's, And there are 5 rock CDs, 7 alternative CDs, 6 Rap CDs and 4 Country CDs, how many ways could you buy your 7 CD's if you bought at least 3 country CD's?
What is
Case 1: 4C3 CDs x 18C4
or
Case 2: 4C4 CDs x 18C3
12240 + 816 = 13056 different ways
500
Expand (a+b)4 using pascals triangle or binomial expansion
What is 1a4b0+ 4a3b1+6a2b2+4a1b3+1a0b4