Comb./Perm. #1
What do we type in Desmos to calculate combinations?
nCr
What do we type in Desmos to calculate permutations?
nPr
You flip a coin and then roll a six-sided die. The coin lands heads-up and the die shows an even number.
Independent Events. The die showing an even number is independent of the coin being flipped.
What does "n" refer to?
What does "r" refer to?
n - The total number of possible choices.
r - The number of things we choose/use.
How can I differentiate between combinations and permutations?
Combinations - Order does NOT matter
A basket contains 4 apples and 6 peaches. You randomly select one piece of fruit, an apple, and eat it. Then you randomly select another piece of fruit, a peach.
Dependent event. P(2nd apple) changes because you at the first apple.
4/10 then 6/9
You can customize a burger with 5 toppings. You get to choose from 13 toppings. How many ways can you customize this burger?
nCr (13,5) = 1287
How many ways can 10 students fill the student government positions of president, vice president, secretary, and treasurer?
nPr = 5040
You have a bag of 5 marbles, 2 blue and 3 green. You randomly pick a blue marble, keep it, then randomly pick another blue marble.
Dependent. The probability of the second blue marble changes because you did not replace the first blue marble.
2/5 then 1/4
There are 12 math teachers at ACHS. How many ways can we select 3 of them to teach Algebra!
nCr (12,3) = 220
You have 6 places to eat lunch in the cafeteria. You're sneaky and found a way to eat lunch at 2 different places during lunch and learn. How many ways can you select 2 places to eat lunch?
nCr (6,2) = 15
Event 1: You roll a 5 on a pair of dice.
Event 2: You flip a coin and it lands on heads.
Independent. The probability of the coin landing on heads does not change because of the dice landing on 5.
1/6 then 1/2
There are two columns in this review labeled "Comb./Perm.". How many ways can we select a review question from these columns?
nPr (10,1) = 10
You forgot the Unit 4 Test is today! It covers Independent Events, Dependent Events, Combinations, and Permutations. You only have time to study 3 sections.
nCr (4,3) = 4
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