General Questions
What's the butterfly's favorite subject in school?
Mothematics!
Why did zero and two break up?
Because some ONE came between them!
What do baby parabolas drink?
Quadratic Formula
Why did the math teacher divide sin by tan?
Just cos
What popular US destination do math teachers love to visit on vacation?
Times Square!
How do you find the probability of a problem that says "At least 1"
1- the probability of "none"
When do you have to use the fundamental counting rule rather than a permutation or combination?
When repetition is permitted
OR
When each thing multiplied comes from a different group
Ways people can physically line up or be seated?
Permutation
What do we use when order matters?
Permutations!
How do I set up a "Find the Probability" problem that uses combinatorics?
Combinations on top per each separate category, multiplied for "and", divided by one combination for the total on bottom
(()C()*()C()*...)/(()C())
What is the difference between a permutation and a combination?
In a permutation order matters, but in a combination it doesn't, so picking A then B is the same as B then A
If one of your choices is to include something OR NOT, what do you multiply by to get your total choices?
2
Ways to choose three markers before starting a coloring page?
Combination
You have 2 extra taylor swift tickets, and 6 friends that want to come with you. How many ways are there to choose who gets the extra tickets?
6C2
15
In a school there are 14 teachers; 10 women and 4 men. 5 are chosen to attend an ALICE training. Find the probability that 2 men and 3 women will be selected.
(4C2*10C3)/(14C5)
360/1001=0.3596
What's a good strategy to decide if order matters?
Choose 2 items in the scenario, if you change the order in which they are chosen, does that have to be counted as a separate option?
A person has a choice of 6 drinks, 3 appetizers, 5 main courses and 2 desserts in a certain meal deal. How many total ways can a person get the meal deal assuming they can only have one from each category?
6*3*5*2
180 ways
Combination
You are going through a haunted house with 3 of your closest friends. How many ways can you line yourselves up to walk through the haunted house (assuming everyone is going inside)?
4! or 4P4
24
You are choosing what to do this weekend, there are 3 nights the school musical is going on, 5 times you could go to get food with friends and 4 different movies you could go see. If you want to limit yourself to 3 things, what's the probability you go see the musical once, and get food with friends twice?
(3C1*5C2*4C0)/(12C3)
3/22~~0.136
What language/ types of questions do we need to use a big fraction for?
"find the probability"/ probability questions
Big Acai is having a topping sale. When ordering your acai bowl, you can choose between a classic, power or big bowl as your size. You then have 7 choices of your base, and there are 18 topping you can choose to add OR NOT (You can add any combination of however many toppings, or none). How many ways can you build your bowl?
3*7*(2)^18
5505024
Electing Class President, Vice President and Secretary?
Permutation
A game store sells 15 board games that can be bought in a pack of 4 for a discount. How many ways are there to select 4 games to be able to get the discount?
Order doesn't matter: combination
15C4
1365
If 80 wonka bars are sold and 3 have golden tickets, find the probability that one person will find 3 golden tickets if that person buys 3 candy bars.
(77C0*3C3)/(80C3)
1/82160=0.000012